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Finding the Fourth Proportional to 205,886.18, 308,763.66 and 65,612

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Solution

The fourth proportional to 205,886.18, 308,763.66 and 65,612 is: 98,397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,886.18 : 308,763.66 = 65,612 : x
  2. Step 2: Convert to fraction form
    205,886.18/308,763.66 = 65,612/x
  3. Step 3: Cross multiply
    205,886.18x = 308,763.66 × 65,612
  4. Step 4: Simplify right side
    205,886.18x = 20,258,601,259.92
  5. Step 5: Solve for x
    x = 20,258,601,259.92/205,886.18
  6. Step 6: Final answer
    x = 98,397.09

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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.