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Finding the Fourth Proportional to 157,202.20, 235,655.06 and 78,241.78

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Solution

The fourth proportional to 157,202.20, 235,655.06 and 78,241.78 is: 117,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,202.20 : 235,655.06 = 78,241.78 : x
  2. Step 2: Convert to fraction form
    157,202.20/235,655.06 = 78,241.78/x
  3. Step 3: Cross multiply
    157,202.20x = 235,655.06 × 78,241.78
  4. Step 4: Simplify right side
    157,202.20x = 18,438,071,360.41
  5. Step 5: Solve for x
    x = 18,438,071,360.41/157,202.20
  6. Step 6: Final answer
    x = 117,288.89

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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.