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Finding the Fourth Proportional to 121,543.80, 182,315.70 and 116,878.20

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Solution

The fourth proportional to 121,543.80, 182,315.70 and 116,878.20 is: 175,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,543.80 : 182,315.70 = 116,878.20 : x
  2. Step 2: Convert to fraction form
    121,543.80/182,315.70 = 116,878.20/x
  3. Step 3: Cross multiply
    121,543.80x = 182,315.70 × 116,878.20
  4. Step 4: Simplify right side
    121,543.80x = 21,308,730,847.74
  5. Step 5: Solve for x
    x = 21,308,730,847.74/121,543.80
  6. Step 6: Final answer
    x = 175,317.30

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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.