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Finding the Fourth Proportional to 216,535.26, 298,819.08 and 121,042.02

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Solution

The fourth proportional to 216,535.26, 298,819.08 and 121,042.02 is: 167,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,535.26 : 298,819.08 = 121,042.02 : x
  2. Step 2: Convert to fraction form
    216,535.26/298,819.08 = 121,042.02/x
  3. Step 3: Cross multiply
    216,535.26x = 298,819.08 × 121,042.02
  4. Step 4: Simplify right side
    216,535.26x = 36,169,665,057.74
  5. Step 5: Solve for x
    x = 36,169,665,057.74/216,535.26
  6. Step 6: Final answer
    x = 167,038.22

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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.