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Finding the Fourth Proportional to 175,492, 263,176.42 and 49,098.29

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Solution

The fourth proportional to 175,492, 263,176.42 and 49,098.29 is: 73,630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,492 : 263,176.42 = 49,098.29 : x
  2. Step 2: Convert to fraction form
    175,492/263,176.42 = 49,098.29/x
  3. Step 3: Cross multiply
    175,492x = 263,176.42 × 49,098.29
  4. Step 4: Simplify right side
    175,492x = 12,921,510,628.95
  5. Step 5: Solve for x
    x = 12,921,510,628.95/175,492
  6. Step 6: Final answer
    x = 73,630.20

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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.