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Finding the Fourth Proportional to 208,856.20, 312,938.70 and 177,752.20

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Solution

The fourth proportional to 208,856.20, 312,938.70 and 177,752.20 is: 266,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,856.20 : 312,938.70 = 177,752.20 : x
  2. Step 2: Convert to fraction form
    208,856.20/312,938.70 = 177,752.20/x
  3. Step 3: Cross multiply
    208,856.20x = 312,938.70 × 177,752.20
  4. Step 4: Simplify right side
    208,856.20x = 55,625,542,390.14
  5. Step 5: Solve for x
    x = 55,625,542,390.14/208,856.20
  6. Step 6: Final answer
    x = 266,334.17

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1.5x scale

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.