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Finding the Fourth Proportional to 191,214.20, 286,724.10 and 112,352.60

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Solution

The fourth proportional to 191,214.20, 286,724.10 and 112,352.60 is: 168,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,214.20 : 286,724.10 = 112,352.60 : x
  2. Step 2: Convert to fraction form
    191,214.20/286,724.10 = 112,352.60/x
  3. Step 3: Cross multiply
    191,214.20x = 286,724.10 × 112,352.60
  4. Step 4: Simplify right side
    191,214.20x = 32,214,198,117.66
  5. Step 5: Solve for x
    x = 32,214,198,117.66/191,214.20
  6. Step 6: Final answer
    x = 168,471.79

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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.