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Finding the Fourth Proportional to 99,142, 136,818.84 and 54,432.88

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Solution

The fourth proportional to 99,142, 136,818.84 and 54,432.88 is: 75,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,142 : 136,818.84 = 54,432.88 : x
  2. Step 2: Convert to fraction form
    99,142/136,818.84 = 54,432.88/x
  3. Step 3: Cross multiply
    99,142x = 136,818.84 × 54,432.88
  4. Step 4: Simplify right side
    99,142x = 7,447,443,499.46
  5. Step 5: Solve for x
    x = 7,447,443,499.46/99,142
  6. Step 6: Final answer
    x = 75,118.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.