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Finding the Fourth Proportional to 122,584, 169,166.08 and 69,592

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Solution

The fourth proportional to 122,584, 169,166.08 and 69,592 is: 96,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,584 : 169,166.08 = 69,592 : x
  2. Step 2: Convert to fraction form
    122,584/169,166.08 = 69,592/x
  3. Step 3: Cross multiply
    122,584x = 169,166.08 × 69,592
  4. Step 4: Simplify right side
    122,584x = 11,772,605,839.36
  5. Step 5: Solve for x
    x = 11,772,605,839.36/122,584
  6. Step 6: Final answer
    x = 96,037.05

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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.