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Finding the Fourth Proportional to 256,833.32, 385,154.18 and 88,305.96

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Solution

The fourth proportional to 256,833.32, 385,154.18 and 88,305.96 is: 132,426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,833.32 : 385,154.18 = 88,305.96 : x
  2. Step 2: Convert to fraction form
    256,833.32/385,154.18 = 88,305.96/x
  3. Step 3: Cross multiply
    256,833.32x = 385,154.18 × 88,305.96
  4. Step 4: Simplify right side
    256,833.32x = 34,011,409,612.91
  5. Step 5: Solve for x
    x = 34,011,409,612.91/256,833.32
  6. Step 6: Final answer
    x = 132,426.00

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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.