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Finding the Fourth Proportional to 177,788.80, 266,788.32 and 65,548

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Solution

The fourth proportional to 177,788.80, 266,788.32 and 65,548 is: 98,360.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788.80 : 266,788.32 = 65,548 : x
  2. Step 2: Convert to fraction form
    177,788.80/266,788.32 = 65,548/x
  3. Step 3: Cross multiply
    177,788.80x = 266,788.32 × 65,548
  4. Step 4: Simplify right side
    177,788.80x = 17,487,440,799.36
  5. Step 5: Solve for x
    x = 17,487,440,799.36/177,788.80
  6. Step 6: Final answer
    x = 98,360.76

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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.