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Finding the Fourth Proportional to 122,282.60, 183,278.10 and 51,205.10

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Solution

The fourth proportional to 122,282.60, 183,278.10 and 51,205.10 is: 76,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,282.60 : 183,278.10 = 51,205.10 : x
  2. Step 2: Convert to fraction form
    122,282.60/183,278.10 = 51,205.10/x
  3. Step 3: Cross multiply
    122,282.60x = 183,278.10 × 51,205.10
  4. Step 4: Simplify right side
    122,282.60x = 9,384,773,438.31
  5. Step 5: Solve for x
    x = 9,384,773,438.31/122,282.60
  6. Step 6: Final answer
    x = 76,746.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.