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Finding the Fourth Proportional to 268,657.09, 402,099.82 and 148,529.32

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Solution

The fourth proportional to 268,657.09, 402,099.82 and 148,529.32 is: 222,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,657.09 : 402,099.82 = 148,529.32 : x
  2. Step 2: Convert to fraction form
    268,657.09/402,099.82 = 148,529.32/x
  3. Step 3: Cross multiply
    268,657.09x = 402,099.82 × 148,529.32
  4. Step 4: Simplify right side
    268,657.09x = 59,723,611,460.15
  5. Step 5: Solve for x
    x = 59,723,611,460.15/268,657.09
  6. Step 6: Final answer
    x = 222,304.25

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Why These Related Problems?

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