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Finding the Fourth Proportional to 185,897.40, 278,538.90 and 158,249.40

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Solution

The fourth proportional to 185,897.40, 278,538.90 and 158,249.40 is: 237,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,897.40 : 278,538.90 = 158,249.40 : x
  2. Step 2: Convert to fraction form
    185,897.40/278,538.90 = 158,249.40/x
  3. Step 3: Cross multiply
    185,897.40x = 278,538.90 × 158,249.40
  4. Step 4: Simplify right side
    185,897.40x = 44,078,613,801.66
  5. Step 5: Solve for x
    x = 44,078,613,801.66/185,897.40
  6. Step 6: Final answer
    x = 237,112.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.