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Finding the Fourth Proportional to 98,813.52, 148,142.52 and 70,713

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Solution

The fourth proportional to 98,813.52, 148,142.52 and 70,713 is: 106,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,813.52 : 148,142.52 = 70,713 : x
  2. Step 2: Convert to fraction form
    98,813.52/148,142.52 = 70,713/x
  3. Step 3: Cross multiply
    98,813.52x = 148,142.52 × 70,713
  4. Step 4: Simplify right side
    98,813.52x = 10,475,602,016.76
  5. Step 5: Solve for x
    x = 10,475,602,016.76/98,813.52
  6. Step 6: Final answer
    x = 106,013.85

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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.