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Finding the Fourth Proportional to 98,986.32, 148,323.96 and 76,552.56

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Solution

The fourth proportional to 98,986.32, 148,323.96 and 76,552.56 is: 114,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,986.32 : 148,323.96 = 76,552.56 : x
  2. Step 2: Convert to fraction form
    98,986.32/148,323.96 = 76,552.56/x
  3. Step 3: Cross multiply
    98,986.32x = 148,323.96 × 76,552.56
  4. Step 4: Simplify right side
    98,986.32x = 11,354,578,847.34
  5. Step 5: Solve for x
    x = 11,354,578,847.34/98,986.32
  6. Step 6: Final answer
    x = 114,708.57

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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.