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Finding the Fourth Proportional to 205,612.16, 308,418.56 and 57,868.16

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Solution

The fourth proportional to 205,612.16, 308,418.56 and 57,868.16 is: 86,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,612.16 : 308,418.56 = 57,868.16 : x
  2. Step 2: Convert to fraction form
    205,612.16/308,418.56 = 57,868.16/x
  3. Step 3: Cross multiply
    205,612.16x = 308,418.56 × 57,868.16
  4. Step 4: Simplify right side
    205,612.16x = 17,847,614,577.05
  5. Step 5: Solve for x
    x = 17,847,614,577.05/205,612.16
  6. Step 6: Final answer
    x = 86,802.33

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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.