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Finding the Fourth Proportional to 99,176.88, 148,781.74 and 49,258.64

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Solution

The fourth proportional to 99,176.88, 148,781.74 and 49,258.64 is: 73,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,176.88 : 148,781.74 = 49,258.64 : x
  2. Step 2: Convert to fraction form
    99,176.88/148,781.74 = 49,258.64/x
  3. Step 3: Cross multiply
    99,176.88x = 148,781.74 × 49,258.64
  4. Step 4: Simplify right side
    99,176.88x = 7,328,786,169.23
  5. Step 5: Solve for x
    x = 7,328,786,169.23/99,176.88
  6. Step 6: Final answer
    x = 73,896.12

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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.