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Finding the Fourth Proportional to 202,030.38, 278,789.18 and 111,381.26

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Solution

The fourth proportional to 202,030.38, 278,789.18 and 111,381.26 is: 153,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,030.38 : 278,789.18 = 111,381.26 : x
  2. Step 2: Convert to fraction form
    202,030.38/278,789.18 = 111,381.26/x
  3. Step 3: Cross multiply
    202,030.38x = 278,789.18 × 111,381.26
  4. Step 4: Simplify right side
    202,030.38x = 31,051,888,191.91
  5. Step 5: Solve for x
    x = 31,051,888,191.91/202,030.38
  6. Step 6: Final answer
    x = 153,699.10

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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.