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Finding the Fourth Proportional to 224,398.97, 309,669.10 and 127,602.83

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Solution

The fourth proportional to 224,398.97, 309,669.10 and 127,602.83 is: 176,091.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,398.97 : 309,669.10 = 127,602.83 : x
  2. Step 2: Convert to fraction form
    224,398.97/309,669.10 = 127,602.83/x
  3. Step 3: Cross multiply
    224,398.97x = 309,669.10 × 127,602.83
  4. Step 4: Simplify right side
    224,398.97x = 39,514,654,440.45
  5. Step 5: Solve for x
    x = 39,514,654,440.45/224,398.97
  6. Step 6: Final answer
    x = 176,091.07

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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.