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Finding the Fourth Proportional to 106,578.94, 147,083.70 and 61,271.59

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Solution

The fourth proportional to 106,578.94, 147,083.70 and 61,271.59 is: 84,557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,578.94 : 147,083.70 = 61,271.59 : x
  2. Step 2: Convert to fraction form
    106,578.94/147,083.70 = 61,271.59/x
  3. Step 3: Cross multiply
    106,578.94x = 147,083.70 × 61,271.59
  4. Step 4: Simplify right side
    106,578.94x = 9,012,052,162.08
  5. Step 5: Solve for x
    x = 9,012,052,162.08/106,578.94
  6. Step 6: Final answer
    x = 84,557.53

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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.