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Finding the Fourth Proportional to 121,784.10, 168,113.88 and 74,052.78

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Solution

The fourth proportional to 121,784.10, 168,113.88 and 74,052.78 is: 102,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,784.10 : 168,113.88 = 74,052.78 : x
  2. Step 2: Convert to fraction form
    121,784.10/168,113.88 = 74,052.78/x
  3. Step 3: Cross multiply
    121,784.10x = 168,113.88 × 74,052.78
  4. Step 4: Simplify right side
    121,784.10x = 12,449,300,170.59
  5. Step 5: Solve for x
    x = 12,449,300,170.59/121,784.10
  6. Step 6: Final answer
    x = 102,224.35

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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.