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Finding the Fourth Proportional to 152,002.70, 209,708.43 and 88,325.90

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Solution

The fourth proportional to 152,002.70, 209,708.43 and 88,325.90 is: 121,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,002.70 : 209,708.43 = 88,325.90 : x
  2. Step 2: Convert to fraction form
    152,002.70/209,708.43 = 88,325.90/x
  3. Step 3: Cross multiply
    152,002.70x = 209,708.43 × 88,325.90
  4. Step 4: Simplify right side
    152,002.70x = 18,522,685,817.34
  5. Step 5: Solve for x
    x = 18,522,685,817.34/152,002.70
  6. Step 6: Final answer
    x = 121,857.61

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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.