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Finding the Fourth Proportional to 197,915.60, 296,760.92 and 77,907.50

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Solution

The fourth proportional to 197,915.60, 296,760.92 and 77,907.50 is: 116,816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,915.60 : 296,760.92 = 77,907.50 : x
  2. Step 2: Convert to fraction form
    197,915.60/296,760.92 = 77,907.50/x
  3. Step 3: Cross multiply
    197,915.60x = 296,760.92 × 77,907.50
  4. Step 4: Simplify right side
    197,915.60x = 23,119,901,374.90
  5. Step 5: Solve for x
    x = 23,119,901,374.90/197,915.60
  6. Step 6: Final answer
    x = 116,816.97

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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.