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Finding the Fourth Proportional to 137,213.70, 205,820.55 and 84,725.70

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Solution

The fourth proportional to 137,213.70, 205,820.55 and 84,725.70 is: 127,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,213.70 : 205,820.55 = 84,725.70 : x
  2. Step 2: Convert to fraction form
    137,213.70/205,820.55 = 84,725.70/x
  3. Step 3: Cross multiply
    137,213.70x = 205,820.55 × 84,725.70
  4. Step 4: Simplify right side
    137,213.70x = 17,438,290,173.14
  5. Step 5: Solve for x
    x = 17,438,290,173.14/137,213.70
  6. Step 6: Final answer
    x = 127,088.55

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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.