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Finding the Fourth Proportional to 232,053.56, 348,104.64 and 98,947.88

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Solution

The fourth proportional to 232,053.56, 348,104.64 and 98,947.88 is: 148,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,053.56 : 348,104.64 = 98,947.88 : x
  2. Step 2: Convert to fraction form
    232,053.56/348,104.64 = 98,947.88/x
  3. Step 3: Cross multiply
    232,053.56x = 348,104.64 × 98,947.88
  4. Step 4: Simplify right side
    232,053.56x = 34,444,216,146.16
  5. Step 5: Solve for x
    x = 34,444,216,146.16/232,053.56
  6. Step 6: Final answer
    x = 148,432.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.