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Finding the Fourth Proportional to 280,172.32, 420,019.60 and 122,282.72

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Solution

The fourth proportional to 280,172.32, 420,019.60 and 122,282.72 is: 183,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,172.32 : 420,019.60 = 122,282.72 : x
  2. Step 2: Convert to fraction form
    280,172.32/420,019.60 = 122,282.72/x
  3. Step 3: Cross multiply
    280,172.32x = 420,019.60 × 122,282.72
  4. Step 4: Simplify right side
    280,172.32x = 51,361,139,141.31
  5. Step 5: Solve for x
    x = 51,361,139,141.31/280,172.32
  6. Step 6: Final answer
    x = 183,319.82

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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.