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Finding the Fourth Proportional to 252,217.29, 348,063.71 and 137,496

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Solution

The fourth proportional to 252,217.29, 348,063.71 and 137,496 is: 189,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,217.29 : 348,063.71 = 137,496 : x
  2. Step 2: Convert to fraction form
    252,217.29/348,063.71 = 137,496/x
  3. Step 3: Cross multiply
    252,217.29x = 348,063.71 × 137,496
  4. Step 4: Simplify right side
    252,217.29x = 47,857,367,870.16
  5. Step 5: Solve for x
    x = 47,857,367,870.16/252,217.29
  6. Step 6: Final answer
    x = 189,746.58

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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.