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Finding the Fourth Proportional to 235,469.67, 353,117.03 and 77,655.75

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Solution

The fourth proportional to 235,469.67, 353,117.03 and 77,655.75 is: 116,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,469.67 : 353,117.03 = 77,655.75 : x
  2. Step 2: Convert to fraction form
    235,469.67/353,117.03 = 77,655.75/x
  3. Step 3: Cross multiply
    235,469.67x = 353,117.03 × 77,655.75
  4. Step 4: Simplify right side
    235,469.67x = 27,421,567,414.14
  5. Step 5: Solve for x
    x = 27,421,567,414.14/235,469.67
  6. Step 6: Final answer
    x = 116,454.77

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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.