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Finding the Fourth Proportional to 205,016.38, 307,522.74 and 64,775

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Solution

The fourth proportional to 205,016.38, 307,522.74 and 64,775 is: 97,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,016.38 : 307,522.74 = 64,775 : x
  2. Step 2: Convert to fraction form
    205,016.38/307,522.74 = 64,775/x
  3. Step 3: Cross multiply
    205,016.38x = 307,522.74 × 64,775
  4. Step 4: Simplify right side
    205,016.38x = 19,919,785,483.50
  5. Step 5: Solve for x
    x = 19,919,785,483.50/205,016.38
  6. Step 6: Final answer
    x = 97,161.92

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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.