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Finding the Fourth Proportional to 199,435.74, 299,065.95 and 74,689.26

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Solution

The fourth proportional to 199,435.74, 299,065.95 and 74,689.26 is: 112,001.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,435.74 : 299,065.95 = 74,689.26 : x
  2. Step 2: Convert to fraction form
    199,435.74/299,065.95 = 74,689.26/x
  3. Step 3: Cross multiply
    199,435.74x = 299,065.95 × 74,689.26
  4. Step 4: Simplify right side
    199,435.74x = 22,337,014,496.70
  5. Step 5: Solve for x
    x = 22,337,014,496.70/199,435.74
  6. Step 6: Final answer
    x = 112,001.06

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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.