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Finding the Fourth Proportional to 256,482.60, 384,723.90 and 138,384.60

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Solution

The fourth proportional to 256,482.60, 384,723.90 and 138,384.60 is: 207,576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,482.60 : 384,723.90 = 138,384.60 : x
  2. Step 2: Convert to fraction form
    256,482.60/384,723.90 = 138,384.60/x
  3. Step 3: Cross multiply
    256,482.60x = 384,723.90 × 138,384.60
  4. Step 4: Simplify right side
    256,482.60x = 53,239,863,011.94
  5. Step 5: Solve for x
    x = 53,239,863,011.94/256,482.60
  6. Step 6: Final answer
    x = 207,576.90

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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.