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Finding the Fourth Proportional to 231,763.16, 347,012.52 and 175,432.52

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Solution

The fourth proportional to 231,763.16, 347,012.52 and 175,432.52 is: 262,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,763.16 : 347,012.52 = 175,432.52 : x
  2. Step 2: Convert to fraction form
    231,763.16/347,012.52 = 175,432.52/x
  3. Step 3: Cross multiply
    231,763.16x = 347,012.52 × 175,432.52
  4. Step 4: Simplify right side
    231,763.16x = 60,877,280,855.15
  5. Step 5: Solve for x
    x = 60,877,280,855.15/231,763.16
  6. Step 6: Final answer
    x = 262,670.22

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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.