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Finding the Fourth Proportional to 117,308.40, 176,221.80 and 82,316.40

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Solution

The fourth proportional to 117,308.40, 176,221.80 and 82,316.40 is: 123,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,308.40 : 176,221.80 = 82,316.40 : x
  2. Step 2: Convert to fraction form
    117,308.40/176,221.80 = 82,316.40/x
  3. Step 3: Cross multiply
    117,308.40x = 176,221.80 × 82,316.40
  4. Step 4: Simplify right side
    117,308.40x = 14,505,944,177.52
  5. Step 5: Solve for x
    x = 14,505,944,177.52/117,308.40
  6. Step 6: Final answer
    x = 123,656.48

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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.