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Finding the Fourth Proportional to 191,473.54, 287,341.56 and 66,814.54

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Solution

The fourth proportional to 191,473.54, 287,341.56 and 66,814.54 is: 100,267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,473.54 : 287,341.56 = 66,814.54 : x
  2. Step 2: Convert to fraction form
    191,473.54/287,341.56 = 66,814.54/x
  3. Step 3: Cross multiply
    191,473.54x = 287,341.56 × 66,814.54
  4. Step 4: Simplify right side
    191,473.54x = 19,198,594,154.28
  5. Step 5: Solve for x
    x = 19,198,594,154.28/191,473.54
  6. Step 6: Final answer
    x = 100,267.61

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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.