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Finding the Fourth Proportional to 235,687.16, 353,586.12 and 77,915.64

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Solution

The fourth proportional to 235,687.16, 353,586.12 and 77,915.64 is: 116,891.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,687.16 : 353,586.12 = 77,915.64 : x
  2. Step 2: Convert to fraction form
    235,687.16/353,586.12 = 77,915.64/x
  3. Step 3: Cross multiply
    235,687.16x = 353,586.12 × 77,915.64
  4. Step 4: Simplify right side
    235,687.16x = 27,549,888,834.92
  5. Step 5: Solve for x
    x = 27,549,888,834.92/235,687.16
  6. Step 6: Final answer
    x = 116,891.77

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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.