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Finding the Fourth Proportional to 235,177.96, 352,796.10 and 77,461.24

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Solution

The fourth proportional to 235,177.96, 352,796.10 and 77,461.24 is: 116,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,177.96 : 352,796.10 = 77,461.24 : x
  2. Step 2: Convert to fraction form
    235,177.96/352,796.10 = 77,461.24/x
  3. Step 3: Cross multiply
    235,177.96x = 352,796.10 × 77,461.24
  4. Step 4: Simplify right side
    235,177.96x = 27,328,023,373.16
  5. Step 5: Solve for x
    x = 27,328,023,373.16/235,177.96
  6. Step 6: Final answer
    x = 116,201.46

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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.