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Finding the Fourth Proportional to 106,265.52, 146,559.24 and 77,552.91

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Solution

The fourth proportional to 106,265.52, 146,559.24 and 77,552.91 is: 106,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,265.52 : 146,559.24 = 77,552.91 : x
  2. Step 2: Convert to fraction form
    106,265.52/146,559.24 = 77,552.91/x
  3. Step 3: Cross multiply
    106,265.52x = 146,559.24 × 77,552.91
  4. Step 4: Simplify right side
    106,265.52x = 11,366,095,549.39
  5. Step 5: Solve for x
    x = 11,366,095,549.39/106,265.52
  6. Step 6: Final answer
    x = 106,959.39

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