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Finding the Fourth Proportional to 145,382.90, 217,724.43 and 98,493.62

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Solution

The fourth proportional to 145,382.90, 217,724.43 and 98,493.62 is: 147,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,382.90 : 217,724.43 = 98,493.62 : x
  2. Step 2: Convert to fraction form
    145,382.90/217,724.43 = 98,493.62/x
  3. Step 3: Cross multiply
    145,382.90x = 217,724.43 × 98,493.62
  4. Step 4: Simplify right side
    145,382.90x = 21,444,467,273.14
  5. Step 5: Solve for x
    x = 21,444,467,273.14/145,382.90
  6. Step 6: Final answer
    x = 147,503.37

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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.