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Finding the Fourth Proportional to 342,025.25, 513,045.17 and 117,384.71

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Solution

The fourth proportional to 342,025.25, 513,045.17 and 117,384.71 is: 176,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,025.25 : 513,045.17 = 117,384.71 : x
  2. Step 2: Convert to fraction form
    342,025.25/513,045.17 = 117,384.71/x
  3. Step 3: Cross multiply
    342,025.25x = 513,045.17 × 117,384.71
  4. Step 4: Simplify right side
    342,025.25x = 60,223,658,497.35
  5. Step 5: Solve for x
    x = 60,223,658,497.35/342,025.25
  6. Step 6: Final answer
    x = 176,079.57

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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.