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Finding the Fourth Proportional to 206,348.64, 309,567.52 and 64,191.22

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Solution

The fourth proportional to 206,348.64, 309,567.52 and 64,191.22 is: 96,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,348.64 : 309,567.52 = 64,191.22 : x
  2. Step 2: Convert to fraction form
    206,348.64/309,567.52 = 64,191.22/x
  3. Step 3: Cross multiply
    206,348.64x = 309,567.52 × 64,191.22
  4. Step 4: Simplify right side
    206,348.64x = 19,871,516,781.17
  5. Step 5: Solve for x
    x = 19,871,516,781.17/206,348.64
  6. Step 6: Final answer
    x = 96,300.69

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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.