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Finding the Fourth Proportional to 189,434.68, 283,959.74 and 161,783.13

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Solution

The fourth proportional to 189,434.68, 283,959.74 and 161,783.13 is: 242,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,434.68 : 283,959.74 = 161,783.13 : x
  2. Step 2: Convert to fraction form
    189,434.68/283,959.74 = 161,783.13/x
  3. Step 3: Cross multiply
    189,434.68x = 283,959.74 × 161,783.13
  4. Step 4: Simplify right side
    189,434.68x = 45,939,895,432.17
  5. Step 5: Solve for x
    x = 45,939,895,432.17/189,434.68
  6. Step 6: Final answer
    x = 242,510.48

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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.