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Finding the Fourth Proportional to 142,132.50, 213,199.56 and 59,026.50

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Solution

The fourth proportional to 142,132.50, 213,199.56 and 59,026.50 is: 88,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,132.50 : 213,199.56 = 59,026.50 : x
  2. Step 2: Convert to fraction form
    142,132.50/213,199.56 = 59,026.50/x
  3. Step 3: Cross multiply
    142,132.50x = 213,199.56 × 59,026.50
  4. Step 4: Simplify right side
    142,132.50x = 12,584,423,828.34
  5. Step 5: Solve for x
    x = 12,584,423,828.34/142,132.50
  6. Step 6: Final answer
    x = 88,540.09

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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.