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Finding the Fourth Proportional to 299,164.29, 448,742.98 and 85,937.43

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Solution

The fourth proportional to 299,164.29, 448,742.98 and 85,937.43 is: 128,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,164.29 : 448,742.98 = 85,937.43 : x
  2. Step 2: Convert to fraction form
    299,164.29/448,742.98 = 85,937.43/x
  3. Step 3: Cross multiply
    299,164.29x = 448,742.98 × 85,937.43
  4. Step 4: Simplify right side
    299,164.29x = 38,563,818,216.90
  5. Step 5: Solve for x
    x = 38,563,818,216.90/299,164.29
  6. Step 6: Final answer
    x = 128,905.15

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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.