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Finding the Fourth Proportional to 311,061.23, 429,264.60 and 182,024.51

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Solution

The fourth proportional to 311,061.23, 429,264.60 and 182,024.51 is: 251,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,061.23 : 429,264.60 = 182,024.51 : x
  2. Step 2: Convert to fraction form
    311,061.23/429,264.60 = 182,024.51/x
  3. Step 3: Cross multiply
    311,061.23x = 429,264.60 × 182,024.51
  4. Step 4: Simplify right side
    311,061.23x = 78,136,677,565.22
  5. Step 5: Solve for x
    x = 78,136,677,565.22/311,061.23
  6. Step 6: Final answer
    x = 251,193.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.