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Finding the Fourth Proportional to 100,572.23, 138,774.26 and 58,122.57

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Solution

The fourth proportional to 100,572.23, 138,774.26 and 58,122.57 is: 80,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,572.23 : 138,774.26 = 58,122.57 : x
  2. Step 2: Convert to fraction form
    100,572.23/138,774.26 = 58,122.57/x
  3. Step 3: Cross multiply
    100,572.23x = 138,774.26 × 58,122.57
  4. Step 4: Simplify right side
    100,572.23x = 8,065,916,641.05
  5. Step 5: Solve for x
    x = 8,065,916,641.05/100,572.23
  6. Step 6: Final answer
    x = 80,200.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.