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Finding the Fourth Proportional to 238,476.29, 357,750.74 and 148,446.16

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Solution

The fourth proportional to 238,476.29, 357,750.74 and 148,446.16 is: 222,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,476.29 : 357,750.74 = 148,446.16 : x
  2. Step 2: Convert to fraction form
    238,476.29/357,750.74 = 148,446.16/x
  3. Step 3: Cross multiply
    238,476.29x = 357,750.74 × 148,446.16
  4. Step 4: Simplify right side
    238,476.29x = 53,106,722,407.25
  5. Step 5: Solve for x
    x = 53,106,722,407.25/238,476.29
  6. Step 6: Final answer
    x = 222,691.83

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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.