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Finding the Fourth Proportional to 105,042.46, 144,957.33 and 57,294.78

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Solution

The fourth proportional to 105,042.46, 144,957.33 and 57,294.78 is: 79,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,042.46 : 144,957.33 = 57,294.78 : x
  2. Step 2: Convert to fraction form
    105,042.46/144,957.33 = 57,294.78/x
  3. Step 3: Cross multiply
    105,042.46x = 144,957.33 × 57,294.78
  4. Step 4: Simplify right side
    105,042.46x = 8,305,299,011.22
  5. Step 5: Solve for x
    x = 8,305,299,011.22/105,042.46
  6. Step 6: Final answer
    x = 79,066.11

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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.