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Finding the Fourth Proportional to 151,006.97, 208,384.29 and 83,023.42

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Solution

The fourth proportional to 151,006.97, 208,384.29 and 83,023.42 is: 114,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,006.97 : 208,384.29 = 83,023.42 : x
  2. Step 2: Convert to fraction form
    151,006.97/208,384.29 = 83,023.42/x
  3. Step 3: Cross multiply
    151,006.97x = 208,384.29 × 83,023.42
  4. Step 4: Simplify right side
    151,006.97x = 17,300,775,753.44
  5. Step 5: Solve for x
    x = 17,300,775,753.44/151,006.97
  6. Step 6: Final answer
    x = 114,569.39

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1.5x scale

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.