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Finding the Fourth Proportional to 177,894.72, 266,578.02 and 98,900.28

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Solution

The fourth proportional to 177,894.72, 266,578.02 and 98,900.28 is: 148,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,894.72 : 266,578.02 = 98,900.28 : x
  2. Step 2: Convert to fraction form
    177,894.72/266,578.02 = 98,900.28/x
  3. Step 3: Cross multiply
    177,894.72x = 266,578.02 × 98,900.28
  4. Step 4: Simplify right side
    177,894.72x = 26,364,640,819.85
  5. Step 5: Solve for x
    x = 26,364,640,819.85/177,894.72
  6. Step 6: Final answer
    x = 148,203.62

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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.