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Finding the Fourth Proportional to 101,468.80, 152,209.86 and 26,590.78

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Solution

The fourth proportional to 101,468.80, 152,209.86 and 26,590.78 is: 39,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,468.80 : 152,209.86 = 26,590.78 : x
  2. Step 2: Convert to fraction form
    101,468.80/152,209.86 = 26,590.78/x
  3. Step 3: Cross multiply
    101,468.80x = 152,209.86 × 26,590.78
  4. Step 4: Simplify right side
    101,468.80x = 4,047,378,901.09
  5. Step 5: Solve for x
    x = 4,047,378,901.09/101,468.80
  6. Step 6: Final answer
    x = 39,887.92

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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.