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Finding the Fourth Proportional to 195,892.65, 293,822.64 and 138,730.23

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Solution

The fourth proportional to 195,892.65, 293,822.64 and 138,730.23 is: 208,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,892.65 : 293,822.64 = 138,730.23 : x
  2. Step 2: Convert to fraction form
    195,892.65/293,822.64 = 138,730.23/x
  3. Step 3: Cross multiply
    195,892.65x = 293,822.64 × 138,730.23
  4. Step 4: Simplify right side
    195,892.65x = 40,762,082,426.41
  5. Step 5: Solve for x
    x = 40,762,082,426.41/195,892.65
  6. Step 6: Final answer
    x = 208,083.78

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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.