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Finding the Fourth Proportional to 189,330.60, 261,288.90 and 108,784.20

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Solution

The fourth proportional to 189,330.60, 261,288.90 and 108,784.20 is: 150,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,330.60 : 261,288.90 = 108,784.20 : x
  2. Step 2: Convert to fraction form
    189,330.60/261,288.90 = 108,784.20/x
  3. Step 3: Cross multiply
    189,330.60x = 261,288.90 × 108,784.20
  4. Step 4: Simplify right side
    189,330.60x = 28,424,103,955.38
  5. Step 5: Solve for x
    x = 28,424,103,955.38/189,330.60
  6. Step 6: Final answer
    x = 150,129.48

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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.