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Finding the Fourth Proportional to 149,009.28, 205,616.64 and 85,340.80

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Solution

The fourth proportional to 149,009.28, 205,616.64 and 85,340.80 is: 117,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,009.28 : 205,616.64 = 85,340.80 : x
  2. Step 2: Convert to fraction form
    149,009.28/205,616.64 = 85,340.80/x
  3. Step 3: Cross multiply
    149,009.28x = 205,616.64 × 85,340.80
  4. Step 4: Simplify right side
    149,009.28x = 17,547,488,550.91
  5. Step 5: Solve for x
    x = 17,547,488,550.91/149,009.28
  6. Step 6: Final answer
    x = 117,761.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.