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Finding the Fourth Proportional to 157,651.24, 235,922.10 and 98,514.76

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Solution

The fourth proportional to 157,651.24, 235,922.10 and 98,514.76 is: 147,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,651.24 : 235,922.10 = 98,514.76 : x
  2. Step 2: Convert to fraction form
    157,651.24/235,922.10 = 98,514.76/x
  3. Step 3: Cross multiply
    157,651.24x = 235,922.10 × 98,514.76
  4. Step 4: Simplify right side
    157,651.24x = 23,241,809,060.20
  5. Step 5: Solve for x
    x = 23,241,809,060.20/157,651.24
  6. Step 6: Final answer
    x = 147,425.48

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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.