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Finding the Fourth Proportional to 277,884, 416,159.96 and 142,592.04

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Solution

The fourth proportional to 277,884, 416,159.96 and 142,592.04 is: 213,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,884 : 416,159.96 = 142,592.04 : x
  2. Step 2: Convert to fraction form
    277,884/416,159.96 = 142,592.04/x
  3. Step 3: Cross multiply
    277,884x = 416,159.96 × 142,592.04
  4. Step 4: Simplify right side
    277,884x = 59,341,096,949.76
  5. Step 5: Solve for x
    x = 59,341,096,949.76/277,884
  6. Step 6: Final answer
    x = 213,546.29

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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.