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Finding the Fourth Proportional to 123,459.17, 185,199.68 and 34,713.44

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Solution

The fourth proportional to 123,459.17, 185,199.68 and 34,713.44 is: 52,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,459.17 : 185,199.68 = 34,713.44 : x
  2. Step 2: Convert to fraction form
    123,459.17/185,199.68 = 34,713.44/x
  3. Step 3: Cross multiply
    123,459.17x = 185,199.68 × 34,713.44
  4. Step 4: Simplify right side
    123,459.17x = 6,428,916,880.13
  5. Step 5: Solve for x
    x = 6,428,916,880.13/123,459.17
  6. Step 6: Final answer
    x = 52,073.23

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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.