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Finding the Fourth Proportional to 204,649.76, 282,341.76 and 124,019.12

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Solution

The fourth proportional to 204,649.76, 282,341.76 and 124,019.12 is: 171,100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,649.76 : 282,341.76 = 124,019.12 : x
  2. Step 2: Convert to fraction form
    204,649.76/282,341.76 = 124,019.12/x
  3. Step 3: Cross multiply
    204,649.76x = 282,341.76 × 124,019.12
  4. Step 4: Simplify right side
    204,649.76x = 35,015,776,614.45
  5. Step 5: Solve for x
    x = 35,015,776,614.45/204,649.76
  6. Step 6: Final answer
    x = 171,100.99

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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.