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Finding the Fourth Proportional to 342,382.95, 513,631.80 and 117,734.31

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Solution

The fourth proportional to 342,382.95, 513,631.80 and 117,734.31 is: 176,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,382.95 : 513,631.80 = 117,734.31 : x
  2. Step 2: Convert to fraction form
    342,382.95/513,631.80 = 117,734.31/x
  3. Step 3: Cross multiply
    342,382.95x = 513,631.80 × 117,734.31
  4. Step 4: Simplify right side
    342,382.95x = 60,472,085,567.06
  5. Step 5: Solve for x
    x = 60,472,085,567.06/342,382.95
  6. Step 6: Final answer
    x = 176,621.19

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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.