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Finding the Fourth Proportional to 157,206.20, 235,661.07 and 78,245.78

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Solution

The fourth proportional to 157,206.20, 235,661.07 and 78,245.78 is: 117,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,206.20 : 235,661.07 = 78,245.78 : x
  2. Step 2: Convert to fraction form
    157,206.20/235,661.07 = 78,245.78/x
  3. Step 3: Cross multiply
    157,206.20x = 235,661.07 × 78,245.78
  4. Step 4: Simplify right side
    157,206.20x = 18,439,484,237.78
  5. Step 5: Solve for x
    x = 18,439,484,237.78/157,206.20
  6. Step 6: Final answer
    x = 117,294.89

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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.