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Finding the Fourth Proportional to 238,275.86, 357,308.76 and 111,952.04

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Solution

The fourth proportional to 238,275.86, 357,308.76 and 111,952.04 is: 167,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,275.86 : 357,308.76 = 111,952.04 : x
  2. Step 2: Convert to fraction form
    238,275.86/357,308.76 = 111,952.04/x
  3. Step 3: Cross multiply
    238,275.86x = 357,308.76 × 111,952.04
  4. Step 4: Simplify right side
    238,275.86x = 40,001,444,591.87
  5. Step 5: Solve for x
    x = 40,001,444,591.87/238,275.86
  6. Step 6: Final answer
    x = 167,878.71

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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.