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Finding the Fourth Proportional to 235,562.88, 353,269.44 and 77,761.92

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Solution

The fourth proportional to 235,562.88, 353,269.44 and 77,761.92 is: 116,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,562.88 : 353,269.44 = 77,761.92 : x
  2. Step 2: Convert to fraction form
    235,562.88/353,269.44 = 77,761.92/x
  3. Step 3: Cross multiply
    235,562.88x = 353,269.44 × 77,761.92
  4. Step 4: Simplify right side
    235,562.88x = 27,470,909,931.72
  5. Step 5: Solve for x
    x = 27,470,909,931.72/235,562.88
  6. Step 6: Final answer
    x = 116,618.16

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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.