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Finding the Fourth Proportional to 122,744.84, 169,330.74 and 77,402.12

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Solution

The fourth proportional to 122,744.84, 169,330.74 and 77,402.12 is: 106,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,744.84 : 169,330.74 = 77,402.12 : x
  2. Step 2: Convert to fraction form
    122,744.84/169,330.74 = 77,402.12/x
  3. Step 3: Cross multiply
    122,744.84x = 169,330.74 × 77,402.12
  4. Step 4: Simplify right side
    122,744.84x = 13,106,558,257.17
  5. Step 5: Solve for x
    x = 13,106,558,257.17/122,744.84
  6. Step 6: Final answer
    x = 106,778.89

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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.