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Finding the Fourth Proportional to 154,952.31, 232,397.84 and 42,603.54

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Solution

The fourth proportional to 154,952.31, 232,397.84 and 42,603.54 is: 63,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,952.31 : 232,397.84 = 42,603.54 : x
  2. Step 2: Convert to fraction form
    154,952.31/232,397.84 = 42,603.54/x
  3. Step 3: Cross multiply
    154,952.31x = 232,397.84 × 42,603.54
  4. Step 4: Simplify right side
    154,952.31x = 9,900,970,459.34
  5. Step 5: Solve for x
    x = 9,900,970,459.34/154,952.31
  6. Step 6: Final answer
    x = 63,896.89

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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.