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Finding the Fourth Proportional to 151,242.88, 226,864.32 and 40,432

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Solution

The fourth proportional to 151,242.88, 226,864.32 and 40,432 is: 60,648

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,242.88 : 226,864.32 = 40,432 : x
  2. Step 2: Convert to fraction form
    151,242.88/226,864.32 = 40,432/x
  3. Step 3: Cross multiply
    151,242.88x = 226,864.32 × 40,432
  4. Step 4: Simplify right side
    151,242.88x = 9,172,578,186.24
  5. Step 5: Solve for x
    x = 9,172,578,186.24/151,242.88
  6. Step 6: Final answer
    x = 60,648

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.