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Finding the Fourth Proportional to 235,586.88, 353,304.96 and 77,785.92

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Solution

The fourth proportional to 235,586.88, 353,304.96 and 77,785.92 is: 116,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,586.88 : 353,304.96 = 77,785.92 : x
  2. Step 2: Convert to fraction form
    235,586.88/353,304.96 = 77,785.92/x
  3. Step 3: Cross multiply
    235,586.88x = 353,304.96 × 77,785.92
  4. Step 4: Simplify right side
    235,586.88x = 27,482,151,354.16
  5. Step 5: Solve for x
    x = 27,482,151,354.16/235,586.88
  6. Step 6: Final answer
    x = 116,654.00

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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.