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Finding the Fourth Proportional to 202,050.38, 278,854.83 and 116,036.34

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Solution

The fourth proportional to 202,050.38, 278,854.83 and 116,036.34 is: 160,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,050.38 : 278,854.83 = 116,036.34 : x
  2. Step 2: Convert to fraction form
    202,050.38/278,854.83 = 116,036.34/x
  3. Step 3: Cross multiply
    202,050.38x = 278,854.83 × 116,036.34
  4. Step 4: Simplify right side
    202,050.38x = 32,357,293,864.52
  5. Step 5: Solve for x
    x = 32,357,293,864.52/202,050.38
  6. Step 6: Final answer
    x = 160,144.69

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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.