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Finding the Fourth Proportional to 235,470.30, 353,175.33 and 77,659.62

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Solution

The fourth proportional to 235,470.30, 353,175.33 and 77,659.62 is: 116,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,470.30 : 353,175.33 = 77,659.62 : x
  2. Step 2: Convert to fraction form
    235,470.30/353,175.33 = 77,659.62/x
  3. Step 3: Cross multiply
    235,470.30x = 353,175.33 × 77,659.62
  4. Step 4: Simplify right side
    235,470.30x = 27,427,461,921.17
  5. Step 5: Solve for x
    x = 27,427,461,921.17/235,470.30
  6. Step 6: Final answer
    x = 116,479.50

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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.