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Finding the Fourth Proportional to 202,426, 303,824.16 and 102,655.04

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Solution

The fourth proportional to 202,426, 303,824.16 and 102,655.04 is: 154,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,426 : 303,824.16 = 102,655.04 : x
  2. Step 2: Convert to fraction form
    202,426/303,824.16 = 102,655.04/x
  3. Step 3: Cross multiply
    202,426x = 303,824.16 × 102,655.04
  4. Step 4: Simplify right side
    202,426x = 31,189,081,297.77
  5. Step 5: Solve for x
    x = 31,189,081,297.77/202,426
  6. Step 6: Final answer
    x = 154,076.46

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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.