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Finding the Fourth Proportional to 189,340.84, 261,281.24 and 103,294.70

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Solution

The fourth proportional to 189,340.84, 261,281.24 and 103,294.70 is: 142,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,340.84 : 261,281.24 = 103,294.70 : x
  2. Step 2: Convert to fraction form
    189,340.84/261,281.24 = 103,294.70/x
  3. Step 3: Cross multiply
    189,340.84x = 261,281.24 × 103,294.70
  4. Step 4: Simplify right side
    189,340.84x = 26,988,967,301.43
  5. Step 5: Solve for x
    x = 26,988,967,301.43/189,340.84
  6. Step 6: Final answer
    x = 142,541.71

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