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Finding the Fourth Proportional to 235,507.50, 353,174.85 and 77,689.26

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Solution

The fourth proportional to 235,507.50, 353,174.85 and 77,689.26 is: 116,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,507.50 : 353,174.85 = 77,689.26 : x
  2. Step 2: Convert to fraction form
    235,507.50/353,174.85 = 77,689.26/x
  3. Step 3: Cross multiply
    235,507.50x = 353,174.85 × 77,689.26
  4. Step 4: Simplify right side
    235,507.50x = 27,437,892,747.11
  5. Step 5: Solve for x
    x = 27,437,892,747.11/235,507.50
  6. Step 6: Final answer
    x = 116,505.39

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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.