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Finding the Fourth Proportional to 320,203.60, 480,250.74 and 106,942

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Solution

The fourth proportional to 320,203.60, 480,250.74 and 106,942 is: 160,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,203.60 : 480,250.74 = 106,942 : x
  2. Step 2: Convert to fraction form
    320,203.60/480,250.74 = 106,942/x
  3. Step 3: Cross multiply
    320,203.60x = 480,250.74 × 106,942
  4. Step 4: Simplify right side
    320,203.60x = 51,358,974,637.08
  5. Step 5: Solve for x
    x = 51,358,974,637.08/320,203.60
  6. Step 6: Final answer
    x = 160,394.74

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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.