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Finding the Fourth Proportional to 218,142.38, 301,032.48 and 121,345.76

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Solution

The fourth proportional to 218,142.38, 301,032.48 and 121,345.76 is: 167,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,142.38 : 301,032.48 = 121,345.76 : x
  2. Step 2: Convert to fraction form
    218,142.38/301,032.48 = 121,345.76/x
  3. Step 3: Cross multiply
    218,142.38x = 301,032.48 × 121,345.76
  4. Step 4: Simplify right side
    218,142.38x = 36,529,016,277.91
  5. Step 5: Solve for x
    x = 36,529,016,277.91/218,142.38
  6. Step 6: Final answer
    x = 167,454.92

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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.