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Finding the Fourth Proportional to 238,224.44, 357,332.11 and 96,066.71

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Solution

The fourth proportional to 238,224.44, 357,332.11 and 96,066.71 is: 144,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,224.44 : 357,332.11 = 96,066.71 : x
  2. Step 2: Convert to fraction form
    238,224.44/357,332.11 = 96,066.71/x
  3. Step 3: Cross multiply
    238,224.44x = 357,332.11 × 96,066.71
  4. Step 4: Simplify right side
    238,224.44x = 34,327,719,498.23
  5. Step 5: Solve for x
    x = 34,327,719,498.23/238,224.44
  6. Step 6: Final answer
    x = 144,098.23

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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.