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Finding the Fourth Proportional to 107,568.81, 148,341.92 and 71,212.68

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Solution

The fourth proportional to 107,568.81, 148,341.92 and 71,212.68 is: 98,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,568.81 : 148,341.92 = 71,212.68 : x
  2. Step 2: Convert to fraction form
    107,568.81/148,341.92 = 71,212.68/x
  3. Step 3: Cross multiply
    107,568.81x = 148,341.92 × 71,212.68
  4. Step 4: Simplify right side
    107,568.81x = 10,563,825,323.48
  5. Step 5: Solve for x
    x = 10,563,825,323.48/107,568.81
  6. Step 6: Final answer
    x = 98,205.28

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Why These Related Problems?

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