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Finding the Fourth Proportional to 252,547.86, 348,517.96 and 137,827.38

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Solution

The fourth proportional to 252,547.86, 348,517.96 and 137,827.38 is: 190,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,547.86 : 348,517.96 = 137,827.38 : x
  2. Step 2: Convert to fraction form
    252,547.86/348,517.96 = 137,827.38/x
  3. Step 3: Cross multiply
    252,547.86x = 348,517.96 × 137,827.38
  4. Step 4: Simplify right side
    252,547.86x = 48,035,317,309.74
  5. Step 5: Solve for x
    x = 48,035,317,309.74/252,547.86
  6. Step 6: Final answer
    x = 190,202.83

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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.