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Finding the Fourth Proportional to 98,232.35, 147,357.77 and 27,159.71

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Solution

The fourth proportional to 98,232.35, 147,357.77 and 27,159.71 is: 40,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,232.35 : 147,357.77 = 27,159.71 : x
  2. Step 2: Convert to fraction form
    98,232.35/147,357.77 = 27,159.71/x
  3. Step 3: Cross multiply
    98,232.35x = 147,357.77 × 27,159.71
  4. Step 4: Simplify right side
    98,232.35x = 4,002,193,426.86
  5. Step 5: Solve for x
    x = 4,002,193,426.86/98,232.35
  6. Step 6: Final answer
    x = 40,742.11

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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.