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Finding the Fourth Proportional to 233,374, 322,029.48 and 131,396.83

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Solution

The fourth proportional to 233,374, 322,029.48 and 131,396.83 is: 181,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,374 : 322,029.48 = 131,396.83 : x
  2. Step 2: Convert to fraction form
    233,374/322,029.48 = 131,396.83/x
  3. Step 3: Cross multiply
    233,374x = 322,029.48 × 131,396.83
  4. Step 4: Simplify right side
    233,374x = 42,313,652,838.55
  5. Step 5: Solve for x
    x = 42,313,652,838.55/233,374
  6. Step 6: Final answer
    x = 181,312.63

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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.