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Finding the Fourth Proportional to 191,602.56, 287,438.40 and 86,471.04

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Solution

The fourth proportional to 191,602.56, 287,438.40 and 86,471.04 is: 129,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,602.56 : 287,438.40 = 86,471.04 : x
  2. Step 2: Convert to fraction form
    191,602.56/287,438.40 = 86,471.04/x
  3. Step 3: Cross multiply
    191,602.56x = 287,438.40 × 86,471.04
  4. Step 4: Simplify right side
    191,602.56x = 24,855,097,383.94
  5. Step 5: Solve for x
    x = 24,855,097,383.94/191,602.56
  6. Step 6: Final answer
    x = 129,722.16

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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.