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Finding the Fourth Proportional to 121,200.80, 181,801.20 and 68,712.80

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Solution

The fourth proportional to 121,200.80, 181,801.20 and 68,712.80 is: 103,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,200.80 : 181,801.20 = 68,712.80 : x
  2. Step 2: Convert to fraction form
    121,200.80/181,801.20 = 68,712.80/x
  3. Step 3: Cross multiply
    121,200.80x = 181,801.20 × 68,712.80
  4. Step 4: Simplify right side
    121,200.80x = 12,492,069,495.36
  5. Step 5: Solve for x
    x = 12,492,069,495.36/121,200.80
  6. Step 6: Final answer
    x = 103,069.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.