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Finding the Fourth Proportional to 191,581, 287,503.53 and 66,922

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Solution

The fourth proportional to 191,581, 287,503.53 and 66,922 is: 100,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,581 : 287,503.53 = 66,922 : x
  2. Step 2: Convert to fraction form
    191,581/287,503.53 = 66,922/x
  3. Step 3: Cross multiply
    191,581x = 287,503.53 × 66,922
  4. Step 4: Simplify right side
    191,581x = 19,240,311,234.66
  5. Step 5: Solve for x
    x = 19,240,311,234.66/191,581
  6. Step 6: Final answer
    x = 100,429.12

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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.