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Finding the Fourth Proportional to 212,326.80, 293,013.90 and 116,837.52

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Solution

The fourth proportional to 212,326.80, 293,013.90 and 116,837.52 is: 161,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,326.80 : 293,013.90 = 116,837.52 : x
  2. Step 2: Convert to fraction form
    212,326.80/293,013.90 = 116,837.52/x
  3. Step 3: Cross multiply
    212,326.80x = 293,013.90 × 116,837.52
  4. Step 4: Simplify right side
    212,326.80x = 34,235,017,401.53
  5. Step 5: Solve for x
    x = 34,235,017,401.53/212,326.80
  6. Step 6: Final answer
    x = 161,237.38

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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.