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Finding the Fourth Proportional to 132,056.98, 198,064.33 and 42,088

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Solution

The fourth proportional to 132,056.98, 198,064.33 and 42,088 is: 63,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,056.98 : 198,064.33 = 42,088 : x
  2. Step 2: Convert to fraction form
    132,056.98/198,064.33 = 42,088/x
  3. Step 3: Cross multiply
    132,056.98x = 198,064.33 × 42,088
  4. Step 4: Simplify right side
    132,056.98x = 8,336,131,521.04
  5. Step 5: Solve for x
    x = 8,336,131,521.04/132,056.98
  6. Step 6: Final answer
    x = 63,125.26

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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.