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Finding the Fourth Proportional to 256,097.70, 384,146.55 and 137,999.70

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Solution

The fourth proportional to 256,097.70, 384,146.55 and 137,999.70 is: 206,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,097.70 : 384,146.55 = 137,999.70 : x
  2. Step 2: Convert to fraction form
    256,097.70/384,146.55 = 137,999.70/x
  3. Step 3: Cross multiply
    256,097.70x = 384,146.55 × 137,999.70
  4. Step 4: Simplify right side
    256,097.70x = 53,012,108,656.04
  5. Step 5: Solve for x
    x = 53,012,108,656.04/256,097.70
  6. Step 6: Final answer
    x = 206,999.55

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1.5x scale

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.