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Finding the Fourth Proportional to 198,078.48, 273,345.84 and 107,433

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Solution

The fourth proportional to 198,078.48, 273,345.84 and 107,433 is: 148,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,078.48 : 273,345.84 = 107,433 : x
  2. Step 2: Convert to fraction form
    198,078.48/273,345.84 = 107,433/x
  3. Step 3: Cross multiply
    198,078.48x = 273,345.84 × 107,433
  4. Step 4: Simplify right side
    198,078.48x = 29,366,363,628.72
  5. Step 5: Solve for x
    x = 29,366,363,628.72/198,078.48
  6. Step 6: Final answer
    x = 148,256.20

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