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Finding the Fourth Proportional to 123,052.34, 169,824.93 and 75,337.40

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Solution

The fourth proportional to 123,052.34, 169,824.93 and 75,337.40 is: 103,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,052.34 : 169,824.93 = 75,337.40 : x
  2. Step 2: Convert to fraction form
    123,052.34/169,824.93 = 75,337.40/x
  3. Step 3: Cross multiply
    123,052.34x = 169,824.93 × 75,337.40
  4. Step 4: Simplify right side
    123,052.34x = 12,794,168,681.38
  5. Step 5: Solve for x
    x = 12,794,168,681.38/123,052.34
  6. Step 6: Final answer
    x = 103,973.39

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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.