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Finding the Fourth Proportional to 106,782.72, 147,351.60 and 61,458.36

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Solution

The fourth proportional to 106,782.72, 147,351.60 and 61,458.36 is: 84,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,782.72 : 147,351.60 = 61,458.36 : x
  2. Step 2: Convert to fraction form
    106,782.72/147,351.60 = 61,458.36/x
  3. Step 3: Cross multiply
    106,782.72x = 147,351.60 × 61,458.36
  4. Step 4: Simplify right side
    106,782.72x = 9,055,987,679.38
  5. Step 5: Solve for x
    x = 9,055,987,679.38/106,782.72
  6. Step 6: Final answer
    x = 84,807.61

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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.