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Finding the Fourth Proportional to 238,084.96, 357,117.20 and 71,868

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Solution

The fourth proportional to 238,084.96, 357,117.20 and 71,868 is: 107,798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,084.96 : 357,117.20 = 71,868 : x
  2. Step 2: Convert to fraction form
    238,084.96/357,117.20 = 71,868/x
  3. Step 3: Cross multiply
    238,084.96x = 357,117.20 × 71,868
  4. Step 4: Simplify right side
    238,084.96x = 25,665,298,929.60
  5. Step 5: Solve for x
    x = 25,665,298,929.60/238,084.96
  6. Step 6: Final answer
    x = 107,798.91

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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.