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Finding the Fourth Proportional to 102,032.34, 152,276.94 and 99,375.13

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Solution

The fourth proportional to 102,032.34, 152,276.94 and 99,375.13 is: 148,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,032.34 : 152,276.94 = 99,375.13 : x
  2. Step 2: Convert to fraction form
    102,032.34/152,276.94 = 99,375.13/x
  3. Step 3: Cross multiply
    102,032.34x = 152,276.94 × 99,375.13
  4. Step 4: Simplify right side
    102,032.34x = 15,132,540,708.50
  5. Step 5: Solve for x
    x = 15,132,540,708.50/102,032.34
  6. Step 6: Final answer
    x = 148,311.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.