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Finding the Fourth Proportional to 169,649.28, 254,414.16 and 49,673.16

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Solution

The fourth proportional to 169,649.28, 254,414.16 and 49,673.16 is: 74,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,649.28 : 254,414.16 = 49,673.16 : x
  2. Step 2: Convert to fraction form
    169,649.28/254,414.16 = 49,673.16/x
  3. Step 3: Cross multiply
    169,649.28x = 254,414.16 × 49,673.16
  4. Step 4: Simplify right side
    169,649.28x = 12,637,555,275.95
  5. Step 5: Solve for x
    x = 12,637,555,275.95/169,649.28
  6. Step 6: Final answer
    x = 74,492.24

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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.