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Finding the Fourth Proportional to 235,984.16, 353,144.64 and 147,279.44

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Solution

The fourth proportional to 235,984.16, 353,144.64 and 147,279.44 is: 220,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,984.16 : 353,144.64 = 147,279.44 : x
  2. Step 2: Convert to fraction form
    235,984.16/353,144.64 = 147,279.44/x
  3. Step 3: Cross multiply
    235,984.16x = 353,144.64 × 147,279.44
  4. Step 4: Simplify right side
    235,984.16x = 52,010,944,818.20
  5. Step 5: Solve for x
    x = 52,010,944,818.20/235,984.16
  6. Step 6: Final answer
    x = 220,400.15

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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.