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Finding the Fourth Proportional to 106,548.50, 147,029.07 and 61,226.57

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Solution

The fourth proportional to 106,548.50, 147,029.07 and 61,226.57 is: 84,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,548.50 : 147,029.07 = 61,226.57 : x
  2. Step 2: Convert to fraction form
    106,548.50/147,029.07 = 61,226.57/x
  3. Step 3: Cross multiply
    106,548.50x = 147,029.07 × 61,226.57
  4. Step 4: Simplify right side
    106,548.50x = 9,002,084,911.24
  5. Step 5: Solve for x
    x = 9,002,084,911.24/106,548.50
  6. Step 6: Final answer
    x = 84,488.15

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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.