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Finding the Fourth Proportional to 98,188.22, 147,282.96 and 41,981

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Solution

The fourth proportional to 98,188.22, 147,282.96 and 41,981 is: 62,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,188.22 : 147,282.96 = 41,981 : x
  2. Step 2: Convert to fraction form
    98,188.22/147,282.96 = 41,981/x
  3. Step 3: Cross multiply
    98,188.22x = 147,282.96 × 41,981
  4. Step 4: Simplify right side
    98,188.22x = 6,183,085,943.76
  5. Step 5: Solve for x
    x = 6,183,085,943.76/98,188.22
  6. Step 6: Final answer
    x = 62,971.77

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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.