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Finding the Fourth Proportional to 193,182.52, 289,853.58 and 85,056.40

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Solution

The fourth proportional to 193,182.52, 289,853.58 and 85,056.40 is: 127,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,182.52 : 289,853.58 = 85,056.40 : x
  2. Step 2: Convert to fraction form
    193,182.52/289,853.58 = 85,056.40/x
  3. Step 3: Cross multiply
    193,182.52x = 289,853.58 × 85,056.40
  4. Step 4: Simplify right side
    193,182.52x = 24,653,902,041.91
  5. Step 5: Solve for x
    x = 24,653,902,041.91/193,182.52
  6. Step 6: Final answer
    x = 127,619.74

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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.