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Finding the Fourth Proportional to 149,032.59, 205,664.04 and 84,514.11

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Solution

The fourth proportional to 149,032.59, 205,664.04 and 84,514.11 is: 116,628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,032.59 : 205,664.04 = 84,514.11 : x
  2. Step 2: Convert to fraction form
    149,032.59/205,664.04 = 84,514.11/x
  3. Step 3: Cross multiply
    149,032.59x = 205,664.04 × 84,514.11
  4. Step 4: Simplify right side
    149,032.59x = 17,381,513,299.60
  5. Step 5: Solve for x
    x = 17,381,513,299.60/149,032.59
  6. Step 6: Final answer
    x = 116,628.94

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Why These Related Problems?

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