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Finding the Fourth Proportional to 206,095.80, 288,767.40 and 206,095.80

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Solution

The fourth proportional to 206,095.80, 288,767.40 and 206,095.80 is: 288,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,095.80 : 288,767.40 = 206,095.80 : x
  2. Step 2: Convert to fraction form
    206,095.80/288,767.40 = 206,095.80/x
  3. Step 3: Cross multiply
    206,095.80x = 288,767.40 × 206,095.80
  4. Step 4: Simplify right side
    206,095.80x = 59,513,748,316.92
  5. Step 5: Solve for x
    x = 59,513,748,316.92/206,095.80
  6. Step 6: Final answer
    x = 288,767.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.