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Finding the Fourth Proportional to 177,551.34, 245,019.24 and 96,978.85

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Solution

The fourth proportional to 177,551.34, 245,019.24 and 96,978.85 is: 133,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,551.34 : 245,019.24 = 96,978.85 : x
  2. Step 2: Convert to fraction form
    177,551.34/245,019.24 = 96,978.85/x
  3. Step 3: Cross multiply
    177,551.34x = 245,019.24 × 96,978.85
  4. Step 4: Simplify right side
    177,551.34x = 23,761,684,123.07
  5. Step 5: Solve for x
    x = 23,761,684,123.07/177,551.34
  6. Step 6: Final answer
    x = 133,829.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.