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Finding the Fourth Proportional to 96,520.30, 144,780.45 and 84,856.30

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Solution

The fourth proportional to 96,520.30, 144,780.45 and 84,856.30 is: 127,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,520.30 : 144,780.45 = 84,856.30 : x
  2. Step 2: Convert to fraction form
    96,520.30/144,780.45 = 84,856.30/x
  3. Step 3: Cross multiply
    96,520.30x = 144,780.45 × 84,856.30
  4. Step 4: Simplify right side
    96,520.30x = 12,285,533,299.34
  5. Step 5: Solve for x
    x = 12,285,533,299.34/96,520.30
  6. Step 6: Final answer
    x = 127,284.45

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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.