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Finding the Fourth Proportional to 205,943.60, 308,915.40 and 65,716.40

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Solution

The fourth proportional to 205,943.60, 308,915.40 and 65,716.40 is: 98,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,943.60 : 308,915.40 = 65,716.40 : x
  2. Step 2: Convert to fraction form
    205,943.60/308,915.40 = 65,716.40/x
  3. Step 3: Cross multiply
    205,943.60x = 308,915.40 × 65,716.40
  4. Step 4: Simplify right side
    205,943.60x = 20,300,807,992.56
  5. Step 5: Solve for x
    x = 20,300,807,992.56/205,943.60
  6. Step 6: Final answer
    x = 98,574.60

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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.