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Finding the Fourth Proportional to 177,675.80, 245,168.91 and 114,099.71

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Solution

The fourth proportional to 177,675.80, 245,168.91 and 114,099.71 is: 157,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,675.80 : 245,168.91 = 114,099.71 : x
  2. Step 2: Convert to fraction form
    177,675.80/245,168.91 = 114,099.71/x
  3. Step 3: Cross multiply
    177,675.80x = 245,168.91 × 114,099.71
  4. Step 4: Simplify right side
    177,675.80x = 27,973,700,306.17
  5. Step 5: Solve for x
    x = 27,973,700,306.17/177,675.80
  6. Step 6: Final answer
    x = 157,442.38

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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.