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Finding the Fourth Proportional to 105,414.97, 145,476.10 and 57,668.32

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Solution

The fourth proportional to 105,414.97, 145,476.10 and 57,668.32 is: 79,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,414.97 : 145,476.10 = 57,668.32 : x
  2. Step 2: Convert to fraction form
    105,414.97/145,476.10 = 57,668.32/x
  3. Step 3: Cross multiply
    105,414.97x = 145,476.10 × 57,668.32
  4. Step 4: Simplify right side
    105,414.97x = 8,389,361,969.74
  5. Step 5: Solve for x
    x = 8,389,361,969.74/105,414.97
  6. Step 6: Final answer
    x = 79,584.16

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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.