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Finding the Fourth Proportional to 252,126.16, 347,934.12 and 137,404.84

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Solution

The fourth proportional to 252,126.16, 347,934.12 and 137,404.84 is: 189,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,126.16 : 347,934.12 = 137,404.84 : x
  2. Step 2: Convert to fraction form
    252,126.16/347,934.12 = 137,404.84/x
  3. Step 3: Cross multiply
    252,126.16x = 347,934.12 × 137,404.84
  4. Step 4: Simplify right side
    252,126.16x = 47,807,832,089.14
  5. Step 5: Solve for x
    x = 47,807,832,089.14/252,126.16
  6. Step 6: Final answer
    x = 189,618.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.