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Finding the Fourth Proportional to 205,197.40, 307,767.30 and 64,970.20

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Solution

The fourth proportional to 205,197.40, 307,767.30 and 64,970.20 is: 97,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,197.40 : 307,767.30 = 64,970.20 : x
  2. Step 2: Convert to fraction form
    205,197.40/307,767.30 = 64,970.20/x
  3. Step 3: Cross multiply
    205,197.40x = 307,767.30 × 64,970.20
  4. Step 4: Simplify right side
    205,197.40x = 19,995,703,034.46
  5. Step 5: Solve for x
    x = 19,995,703,034.46/205,197.40
  6. Step 6: Final answer
    x = 97,446.18

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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.