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Finding the Fourth Proportional to 1,292,154.02, 1,938,238.32 and 1,150,655.12

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Solution

The fourth proportional to 1,292,154.02, 1,938,238.32 and 1,150,655.12 is: 1,725,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,154.02 : 1,938,238.32 = 1,150,655.12 : x
  2. Step 2: Convert to fraction form
    1,292,154.02/1,938,238.32 = 1,150,655.12/x
  3. Step 3: Cross multiply
    1,292,154.02x = 1,938,238.32 × 1,150,655.12
  4. Step 4: Simplify right side
    1,292,154.02x = 2,230,243,846,688.20
  5. Step 5: Solve for x
    x = 2,230,243,846,688.20/1,292,154.02
  6. Step 6: Final answer
    x = 1,725,989.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.