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Finding the Fourth Proportional to 268,113.92, 401,894.40 and 120,473.60

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Solution

The fourth proportional to 268,113.92, 401,894.40 and 120,473.60 is: 180,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,113.92 : 401,894.40 = 120,473.60 : x
  2. Step 2: Convert to fraction form
    268,113.92/401,894.40 = 120,473.60/x
  3. Step 3: Cross multiply
    268,113.92x = 401,894.40 × 120,473.60
  4. Step 4: Simplify right side
    268,113.92x = 48,417,665,187.84
  5. Step 5: Solve for x
    x = 48,417,665,187.84/268,113.92
  6. Step 6: Final answer
    x = 180,586.17

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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.