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Finding the Fourth Proportional to 123,154.38, 169,954.94 and 72,154.91

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Solution

The fourth proportional to 123,154.38, 169,954.94 and 72,154.91 is: 99,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,154.38 : 169,954.94 = 72,154.91 : x
  2. Step 2: Convert to fraction form
    123,154.38/169,954.94 = 72,154.91/x
  3. Step 3: Cross multiply
    123,154.38x = 169,954.94 × 72,154.91
  4. Step 4: Simplify right side
    123,154.38x = 12,263,083,038.98
  5. Step 5: Solve for x
    x = 12,263,083,038.98/123,154.38
  6. Step 6: Final answer
    x = 99,574.88

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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.