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Finding the Fourth Proportional to 122,782.77, 169,425.07 and 77,443.63

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Solution

The fourth proportional to 122,782.77, 169,425.07 and 77,443.63 is: 106,862.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,782.77 : 169,425.07 = 77,443.63 : x
  2. Step 2: Convert to fraction form
    122,782.77/169,425.07 = 77,443.63/x
  3. Step 3: Cross multiply
    122,782.77x = 169,425.07 × 77,443.63
  4. Step 4: Simplify right side
    122,782.77x = 13,120,891,816.63
  5. Step 5: Solve for x
    x = 13,120,891,816.63/122,782.77
  6. Step 6: Final answer
    x = 106,862.65

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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.