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Finding the Fourth Proportional to 209,981.80, 314,972.70 and 177,176.80

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Solution

The fourth proportional to 209,981.80, 314,972.70 and 177,176.80 is: 265,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,981.80 : 314,972.70 = 177,176.80 : x
  2. Step 2: Convert to fraction form
    209,981.80/314,972.70 = 177,176.80/x
  3. Step 3: Cross multiply
    209,981.80x = 314,972.70 × 177,176.80
  4. Step 4: Simplify right side
    209,981.80x = 55,805,855,073.36
  5. Step 5: Solve for x
    x = 55,805,855,073.36/209,981.80
  6. Step 6: Final answer
    x = 265,765.20

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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.