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Finding the Fourth Proportional to 177,480.72, 244,923.48 and 102,024.72

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Solution

The fourth proportional to 177,480.72, 244,923.48 and 102,024.72 is: 140,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,480.72 : 244,923.48 = 102,024.72 : x
  2. Step 2: Convert to fraction form
    177,480.72/244,923.48 = 102,024.72/x
  3. Step 3: Cross multiply
    177,480.72x = 244,923.48 × 102,024.72
  4. Step 4: Simplify right side
    177,480.72x = 24,988,249,468.43
  5. Step 5: Solve for x
    x = 24,988,249,468.43/177,480.72
  6. Step 6: Final answer
    x = 140,794.16

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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.