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Finding the Fourth Proportional to 268,512.42, 370,541.10 and 146,002.14

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Solution

The fourth proportional to 268,512.42, 370,541.10 and 146,002.14 is: 201,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,512.42 : 370,541.10 = 146,002.14 : x
  2. Step 2: Convert to fraction form
    268,512.42/370,541.10 = 146,002.14/x
  3. Step 3: Cross multiply
    268,512.42x = 370,541.10 × 146,002.14
  4. Step 4: Simplify right side
    268,512.42x = 54,099,793,557.95
  5. Step 5: Solve for x
    x = 54,099,793,557.95/268,512.42
  6. Step 6: Final answer
    x = 201,479.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.