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Finding the Fourth Proportional to 189,719.72, 284,726.46 and 71,498.60

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Solution

The fourth proportional to 189,719.72, 284,726.46 and 71,498.60 is: 107,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,719.72 : 284,726.46 = 71,498.60 : x
  2. Step 2: Convert to fraction form
    189,719.72/284,726.46 = 71,498.60/x
  3. Step 3: Cross multiply
    189,719.72x = 284,726.46 × 71,498.60
  4. Step 4: Simplify right side
    189,719.72x = 20,357,543,272.96
  5. Step 5: Solve for x
    x = 20,357,543,272.96/189,719.72
  6. Step 6: Final answer
    x = 107,303.25

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Why These Related Problems?

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