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Finding the Fourth Proportional to 98,908.94, 148,346.19 and 27,814.68

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Solution

The fourth proportional to 98,908.94, 148,346.19 and 27,814.68 is: 41,717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,908.94 : 148,346.19 = 27,814.68 : x
  2. Step 2: Convert to fraction form
    98,908.94/148,346.19 = 27,814.68/x
  3. Step 3: Cross multiply
    98,908.94x = 148,346.19 × 27,814.68
  4. Step 4: Simplify right side
    98,908.94x = 4,126,201,804.07
  5. Step 5: Solve for x
    x = 4,126,201,804.07/98,908.94
  6. Step 6: Final answer
    x = 41,717.18

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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.