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Finding the Fourth Proportional to 142,097.94, 213,084.90 and 75,522.06

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Solution

The fourth proportional to 142,097.94, 213,084.90 and 75,522.06 is: 113,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,097.94 : 213,084.90 = 75,522.06 : x
  2. Step 2: Convert to fraction form
    142,097.94/213,084.90 = 75,522.06/x
  3. Step 3: Cross multiply
    142,097.94x = 213,084.90 × 75,522.06
  4. Step 4: Simplify right side
    142,097.94x = 16,092,610,602.89
  5. Step 5: Solve for x
    x = 16,092,610,602.89/142,097.94
  6. Step 6: Final answer
    x = 113,250.13

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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.