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Finding the Fourth Proportional to 137,875.59, 206,988.38 and 117,230.31

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Solution

The fourth proportional to 137,875.59, 206,988.38 and 117,230.31 is: 175,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,875.59 : 206,988.38 = 117,230.31 : x
  2. Step 2: Convert to fraction form
    137,875.59/206,988.38 = 117,230.31/x
  3. Step 3: Cross multiply
    137,875.59x = 206,988.38 × 117,230.31
  4. Step 4: Simplify right side
    137,875.59x = 24,265,311,367.65
  5. Step 5: Solve for x
    x = 24,265,311,367.65/137,875.59
  6. Step 6: Final answer
    x = 175,994.25

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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.