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Finding the Fourth Proportional to 232,409.20, 348,613.80 and 82,818.40

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Solution

The fourth proportional to 232,409.20, 348,613.80 and 82,818.40 is: 124,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,409.20 : 348,613.80 = 82,818.40 : x
  2. Step 2: Convert to fraction form
    232,409.20/348,613.80 = 82,818.40/x
  3. Step 3: Cross multiply
    232,409.20x = 348,613.80 × 82,818.40
  4. Step 4: Simplify right side
    232,409.20x = 28,871,637,133.92
  5. Step 5: Solve for x
    x = 28,871,637,133.92/232,409.20
  6. Step 6: Final answer
    x = 124,227.60

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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.