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Finding the Fourth Proportional to 107,456.94, 160,396.71 and 99,540

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Solution

The fourth proportional to 107,456.94, 160,396.71 and 99,540 is: 148,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,456.94 : 160,396.71 = 99,540 : x
  2. Step 2: Convert to fraction form
    107,456.94/160,396.71 = 99,540/x
  3. Step 3: Cross multiply
    107,456.94x = 160,396.71 × 99,540
  4. Step 4: Simplify right side
    107,456.94x = 15,965,888,513.40
  5. Step 5: Solve for x
    x = 15,965,888,513.40/107,456.94
  6. Step 6: Final answer
    x = 148,579.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.