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Finding the Fourth Proportional to 148,892, 223,339.62 and 38,084

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Solution

The fourth proportional to 148,892, 223,339.62 and 38,084 is: 57,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,892 : 223,339.62 = 38,084 : x
  2. Step 2: Convert to fraction form
    148,892/223,339.62 = 38,084/x
  3. Step 3: Cross multiply
    148,892x = 223,339.62 × 38,084
  4. Step 4: Simplify right side
    148,892x = 8,505,666,088.08
  5. Step 5: Solve for x
    x = 8,505,666,088.08/148,892
  6. Step 6: Final answer
    x = 57,126.41

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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.