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Finding the Fourth Proportional to 136,038.81, 204,057.94 and 36,199

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Solution

The fourth proportional to 136,038.81, 204,057.94 and 36,199 is: 54,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,038.81 : 204,057.94 = 36,199 : x
  2. Step 2: Convert to fraction form
    136,038.81/204,057.94 = 36,199/x
  3. Step 3: Cross multiply
    136,038.81x = 204,057.94 × 36,199
  4. Step 4: Simplify right side
    136,038.81x = 7,386,693,370.06
  5. Step 5: Solve for x
    x = 7,386,693,370.06/136,038.81
  6. Step 6: Final answer
    x = 54,298.43

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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.