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Finding the Fourth Proportional to 243,140.46, 364,882.02 and 85,381.20

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Solution

The fourth proportional to 243,140.46, 364,882.02 and 85,381.20 is: 128,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,140.46 : 364,882.02 = 85,381.20 : x
  2. Step 2: Convert to fraction form
    243,140.46/364,882.02 = 85,381.20/x
  3. Step 3: Cross multiply
    243,140.46x = 364,882.02 × 85,381.20
  4. Step 4: Simplify right side
    243,140.46x = 31,154,064,726.02
  5. Step 5: Solve for x
    x = 31,154,064,726.02/243,140.46
  6. Step 6: Final answer
    x = 128,131.96

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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.