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Finding the Fourth Proportional to 205,048.60, 307,616.10 and 64,821.40

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Solution

The fourth proportional to 205,048.60, 307,616.10 and 64,821.40 is: 97,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,048.60 : 307,616.10 = 64,821.40 : x
  2. Step 2: Convert to fraction form
    205,048.60/307,616.10 = 64,821.40/x
  3. Step 3: Cross multiply
    205,048.60x = 307,616.10 × 64,821.40
  4. Step 4: Simplify right side
    205,048.60x = 19,940,106,264.54
  5. Step 5: Solve for x
    x = 19,940,106,264.54/205,048.60
  6. Step 6: Final answer
    x = 97,245.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.