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Finding the Fourth Proportional to 200,041.18, 299,969.43 and 73,649.68

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Solution

The fourth proportional to 200,041.18, 299,969.43 and 73,649.68 is: 110,440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,041.18 : 299,969.43 = 73,649.68 : x
  2. Step 2: Convert to fraction form
    200,041.18/299,969.43 = 73,649.68/x
  3. Step 3: Cross multiply
    200,041.18x = 299,969.43 × 73,649.68
  4. Step 4: Simplify right side
    200,041.18x = 22,092,652,529.28
  5. Step 5: Solve for x
    x = 22,092,652,529.28/200,041.18
  6. Step 6: Final answer
    x = 110,440.52

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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.