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Finding the Fourth Proportional to 198,710.52, 299,184.49 and 175,169.28

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Solution

The fourth proportional to 198,710.52, 299,184.49 and 175,169.28 is: 263,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,710.52 : 299,184.49 = 175,169.28 : x
  2. Step 2: Convert to fraction form
    198,710.52/299,184.49 = 175,169.28/x
  3. Step 3: Cross multiply
    198,710.52x = 299,184.49 × 175,169.28
  4. Step 4: Simplify right side
    198,710.52x = 52,407,932,056.04
  5. Step 5: Solve for x
    x = 52,407,932,056.04/198,710.52
  6. Step 6: Final answer
    x = 263,740.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.