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Finding the Fourth Proportional to 235,116.36, 352,698.86 and 77,344.60

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Solution

The fourth proportional to 235,116.36, 352,698.86 and 77,344.60 is: 116,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,116.36 : 352,698.86 = 77,344.60 : x
  2. Step 2: Convert to fraction form
    235,116.36/352,698.86 = 77,344.60/x
  3. Step 3: Cross multiply
    235,116.36x = 352,698.86 × 77,344.60
  4. Step 4: Simplify right side
    235,116.36x = 27,279,352,247.16
  5. Step 5: Solve for x
    x = 27,279,352,247.16/235,116.36
  6. Step 6: Final answer
    x = 116,024.90

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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.