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Finding the Fourth Proportional to 199,397.60, 275,013.10 and 127,784.28

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Solution

The fourth proportional to 199,397.60, 275,013.10 and 127,784.28 is: 176,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,397.60 : 275,013.10 = 127,784.28 : x
  2. Step 2: Convert to fraction form
    199,397.60/275,013.10 = 127,784.28/x
  3. Step 3: Cross multiply
    199,397.60x = 275,013.10 × 127,784.28
  4. Step 4: Simplify right side
    199,397.60x = 35,142,350,974.07
  5. Step 5: Solve for x
    x = 35,142,350,974.07/199,397.60
  6. Step 6: Final answer
    x = 176,242.60

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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.