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Finding the Fourth Proportional to 142,760.70, 214,141.05 and 89,999.10

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Solution

The fourth proportional to 142,760.70, 214,141.05 and 89,999.10 is: 134,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,760.70 : 214,141.05 = 89,999.10 : x
  2. Step 2: Convert to fraction form
    142,760.70/214,141.05 = 89,999.10/x
  3. Step 3: Cross multiply
    142,760.70x = 214,141.05 × 89,999.10
  4. Step 4: Simplify right side
    142,760.70x = 19,272,501,773.06
  5. Step 5: Solve for x
    x = 19,272,501,773.06/142,760.70
  6. Step 6: Final answer
    x = 134,998.65

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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.