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Finding the Fourth Proportional to 189,259.20, 284,034.24 and 141,347.52

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Solution

The fourth proportional to 189,259.20, 284,034.24 and 141,347.52 is: 212,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,259.20 : 284,034.24 = 141,347.52 : x
  2. Step 2: Convert to fraction form
    189,259.20/284,034.24 = 141,347.52/x
  3. Step 3: Cross multiply
    189,259.20x = 284,034.24 × 141,347.52
  4. Step 4: Simplify right side
    189,259.20x = 40,147,535,419.08
  5. Step 5: Solve for x
    x = 40,147,535,419.08/189,259.20
  6. Step 6: Final answer
    x = 212,129.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.