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Finding the Fourth Proportional to 177,493.44, 266,221.92 and 59,152

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Solution

The fourth proportional to 177,493.44, 266,221.92 and 59,152 is: 88,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,493.44 : 266,221.92 = 59,152 : x
  2. Step 2: Convert to fraction form
    177,493.44/266,221.92 = 59,152/x
  3. Step 3: Cross multiply
    177,493.44x = 266,221.92 × 59,152
  4. Step 4: Simplify right side
    177,493.44x = 15,747,559,011.84
  5. Step 5: Solve for x
    x = 15,747,559,011.84/177,493.44
  6. Step 6: Final answer
    x = 88,721.92

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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.