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Finding the Fourth Proportional to 205,549.20, 308,323.80 and 55,812.60

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Solution

The fourth proportional to 205,549.20, 308,323.80 and 55,812.60 is: 83,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,549.20 : 308,323.80 = 55,812.60 : x
  2. Step 2: Convert to fraction form
    205,549.20/308,323.80 = 55,812.60/x
  3. Step 3: Cross multiply
    205,549.20x = 308,323.80 × 55,812.60
  4. Step 4: Simplify right side
    205,549.20x = 17,208,352,919.88
  5. Step 5: Solve for x
    x = 17,208,352,919.88/205,549.20
  6. Step 6: Final answer
    x = 83,718.90

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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.