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Finding the Fourth Proportional to 205,252.85, 307,848.48 and 64,993.25

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Solution

The fourth proportional to 205,252.85, 307,848.48 and 64,993.25 is: 97,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,252.85 : 307,848.48 = 64,993.25 : x
  2. Step 2: Convert to fraction form
    205,252.85/307,848.48 = 64,993.25/x
  3. Step 3: Cross multiply
    205,252.85x = 307,848.48 × 64,993.25
  4. Step 4: Simplify right side
    205,252.85x = 20,008,073,222.76
  5. Step 5: Solve for x
    x = 20,008,073,222.76/205,252.85
  6. Step 6: Final answer
    x = 97,480.12

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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.