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Finding the Fourth Proportional to 142,100.19, 213,088.28 and 75,524.31

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Solution

The fourth proportional to 142,100.19, 213,088.28 and 75,524.31 is: 113,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,100.19 : 213,088.28 = 75,524.31 : x
  2. Step 2: Convert to fraction form
    142,100.19/213,088.28 = 75,524.31/x
  3. Step 3: Cross multiply
    142,100.19x = 213,088.28 × 75,524.31
  4. Step 4: Simplify right side
    142,100.19x = 16,093,344,938.47
  5. Step 5: Solve for x
    x = 16,093,344,938.47/142,100.19
  6. Step 6: Final answer
    x = 113,253.51

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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.