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Finding the Fourth Proportional to 198,260, 273,595.56 and 113,374.16

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Solution

The fourth proportional to 198,260, 273,595.56 and 113,374.16 is: 156,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,260 : 273,595.56 = 113,374.16 : x
  2. Step 2: Convert to fraction form
    198,260/273,595.56 = 113,374.16/x
  3. Step 3: Cross multiply
    198,260x = 273,595.56 × 113,374.16
  4. Step 4: Simplify right side
    198,260x = 31,018,666,794.73
  5. Step 5: Solve for x
    x = 31,018,666,794.73/198,260
  6. Step 6: Final answer
    x = 156,454.49

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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.