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Finding the Fourth Proportional to 191,973.20, 287,614.20 and 164,325.20

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Solution

The fourth proportional to 191,973.20, 287,614.20 and 164,325.20 is: 246,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,973.20 : 287,614.20 = 164,325.20 : x
  2. Step 2: Convert to fraction form
    191,973.20/287,614.20 = 164,325.20/x
  3. Step 3: Cross multiply
    191,973.20x = 287,614.20 × 164,325.20
  4. Step 4: Simplify right side
    191,973.20x = 47,262,260,937.84
  5. Step 5: Solve for x
    x = 47,262,260,937.84/191,973.20
  6. Step 6: Final answer
    x = 246,191.97

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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.