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Finding the Fourth Proportional to 205,616.16, 308,424.56 and 57,872.16

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Solution

The fourth proportional to 205,616.16, 308,424.56 and 57,872.16 is: 86,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,616.16 : 308,424.56 = 57,872.16 : x
  2. Step 2: Convert to fraction form
    205,616.16/308,424.56 = 57,872.16/x
  3. Step 3: Cross multiply
    205,616.16x = 308,424.56 × 57,872.16
  4. Step 4: Simplify right side
    205,616.16x = 17,849,195,484.25
  5. Step 5: Solve for x
    x = 17,849,195,484.25/205,616.16
  6. Step 6: Final answer
    x = 86,808.33

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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.