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Finding the Fourth Proportional to 121,097.40, 181,646.10 and 81,439.80

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Solution

The fourth proportional to 121,097.40, 181,646.10 and 81,439.80 is: 122,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,097.40 : 181,646.10 = 81,439.80 : x
  2. Step 2: Convert to fraction form
    121,097.40/181,646.10 = 81,439.80/x
  3. Step 3: Cross multiply
    121,097.40x = 181,646.10 × 81,439.80
  4. Step 4: Simplify right side
    121,097.40x = 14,793,222,054.78
  5. Step 5: Solve for x
    x = 14,793,222,054.78/121,097.40
  6. Step 6: Final answer
    x = 122,159.70

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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.