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Finding the Fourth Proportional to 142,774.65, 214,258.86 and 76,262.49

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Solution

The fourth proportional to 142,774.65, 214,258.86 and 76,262.49 is: 114,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,774.65 : 214,258.86 = 76,262.49 : x
  2. Step 2: Convert to fraction form
    142,774.65/214,258.86 = 76,262.49/x
  3. Step 3: Cross multiply
    142,774.65x = 214,258.86 × 76,262.49
  4. Step 4: Simplify right side
    142,774.65x = 16,339,914,168.16
  5. Step 5: Solve for x
    x = 16,339,914,168.16/142,774.65
  6. Step 6: Final answer
    x = 114,445.49

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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.