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Finding the Fourth Proportional to 123,476.70, 185,301.45 and 53,406.30

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Solution

The fourth proportional to 123,476.70, 185,301.45 and 53,406.30 is: 80,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,476.70 : 185,301.45 = 53,406.30 : x
  2. Step 2: Convert to fraction form
    123,476.70/185,301.45 = 53,406.30/x
  3. Step 3: Cross multiply
    123,476.70x = 185,301.45 × 53,406.30
  4. Step 4: Simplify right side
    123,476.70x = 9,896,264,829.14
  5. Step 5: Solve for x
    x = 9,896,264,829.14/123,476.70
  6. Step 6: Final answer
    x = 80,146.82

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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.