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Finding the Fourth Proportional to 232,005.70, 348,056.55 and 132,213.70

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Solution

The fourth proportional to 232,005.70, 348,056.55 and 132,213.70 is: 198,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,005.70 : 348,056.55 = 132,213.70 : x
  2. Step 2: Convert to fraction form
    232,005.70/348,056.55 = 132,213.70/x
  3. Step 3: Cross multiply
    232,005.70x = 348,056.55 × 132,213.70
  4. Step 4: Simplify right side
    232,005.70x = 46,017,844,284.74
  5. Step 5: Solve for x
    x = 46,017,844,284.74/232,005.70
  6. Step 6: Final answer
    x = 198,347.90

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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.