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Finding the Fourth Proportional to 212,903.38, 293,810.92 and 137,583.10

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Solution

The fourth proportional to 212,903.38, 293,810.92 and 137,583.10 is: 189,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,903.38 : 293,810.92 = 137,583.10 : x
  2. Step 2: Convert to fraction form
    212,903.38/293,810.92 = 137,583.10/x
  3. Step 3: Cross multiply
    212,903.38x = 293,810.92 × 137,583.10
  4. Step 4: Simplify right side
    212,903.38x = 40,423,417,187.45
  5. Step 5: Solve for x
    x = 40,423,417,187.45/212,903.38
  6. Step 6: Final answer
    x = 189,867.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.