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Finding the Fourth Proportional to 191,727.40, 287,588.40 and 86,546.20

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Solution

The fourth proportional to 191,727.40, 287,588.40 and 86,546.20 is: 129,818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,727.40 : 287,588.40 = 86,546.20 : x
  2. Step 2: Convert to fraction form
    191,727.40/287,588.40 = 86,546.20/x
  3. Step 3: Cross multiply
    191,727.40x = 287,588.40 × 86,546.20
  4. Step 4: Simplify right side
    191,727.40x = 24,889,683,184.08
  5. Step 5: Solve for x
    x = 24,889,683,184.08/191,727.40
  6. Step 6: Final answer
    x = 129,818.08

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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.