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Finding the Fourth Proportional to 232,406.70, 348,642.45 and 99,285.90

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Solution

The fourth proportional to 232,406.70, 348,642.45 and 99,285.90 is: 148,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,406.70 : 348,642.45 = 99,285.90 : x
  2. Step 2: Convert to fraction form
    232,406.70/348,642.45 = 99,285.90/x
  3. Step 3: Cross multiply
    232,406.70x = 348,642.45 × 99,285.90
  4. Step 4: Simplify right side
    232,406.70x = 34,615,279,426.46
  5. Step 5: Solve for x
    x = 34,615,279,426.46/232,406.70
  6. Step 6: Final answer
    x = 148,942.69

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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.