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Finding the Fourth Proportional to 205,574.82, 308,383.38 and 77,598.89

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Solution

The fourth proportional to 205,574.82, 308,383.38 and 77,598.89 is: 116,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,574.82 : 308,383.38 = 77,598.89 : x
  2. Step 2: Convert to fraction form
    205,574.82/308,383.38 = 77,598.89/x
  3. Step 3: Cross multiply
    205,574.82x = 308,383.38 × 77,598.89
  4. Step 4: Simplify right side
    205,574.82x = 23,930,207,594.45
  5. Step 5: Solve for x
    x = 23,930,207,594.45/205,574.82
  6. Step 6: Final answer
    x = 116,406.32

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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.