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Finding the Fourth Proportional to 109,083.68, 150,461.46 and 70,774.77

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Solution

The fourth proportional to 109,083.68, 150,461.46 and 70,774.77 is: 97,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,083.68 : 150,461.46 = 70,774.77 : x
  2. Step 2: Convert to fraction form
    109,083.68/150,461.46 = 70,774.77/x
  3. Step 3: Cross multiply
    109,083.68x = 150,461.46 × 70,774.77
  4. Step 4: Simplify right side
    109,083.68x = 10,648,875,225.36
  5. Step 5: Solve for x
    x = 10,648,875,225.36/109,083.68
  6. Step 6: Final answer
    x = 97,621.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.