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Finding the Fourth Proportional to 185,984.80, 256,656 and 101,104

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Solution

The fourth proportional to 185,984.80, 256,656 and 101,104 is: 139,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,984.80 : 256,656 = 101,104 : x
  2. Step 2: Convert to fraction form
    185,984.80/256,656 = 101,104/x
  3. Step 3: Cross multiply
    185,984.80x = 256,656 × 101,104
  4. Step 4: Simplify right side
    185,984.80x = 25,948,948,224
  5. Step 5: Solve for x
    x = 25,948,948,224/185,984.80
  6. Step 6: Final answer
    x = 139,521.88

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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.