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Finding the Fourth Proportional to 235,466.70, 353,200.05 and 77,686.80

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Solution

The fourth proportional to 235,466.70, 353,200.05 and 77,686.80 is: 116,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,466.70 : 353,200.05 = 77,686.80 : x
  2. Step 2: Convert to fraction form
    235,466.70/353,200.05 = 77,686.80/x
  3. Step 3: Cross multiply
    235,466.70x = 353,200.05 × 77,686.80
  4. Step 4: Simplify right side
    235,466.70x = 27,438,981,644.34
  5. Step 5: Solve for x
    x = 27,438,981,644.34/235,466.70
  6. Step 6: Final answer
    x = 116,530.20

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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.