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Finding the Fourth Proportional to 268,002.16, 401,480.58 and 149,316.08

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Solution

The fourth proportional to 268,002.16, 401,480.58 and 149,316.08 is: 223,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,002.16 : 401,480.58 = 149,316.08 : x
  2. Step 2: Convert to fraction form
    268,002.16/401,480.58 = 149,316.08/x
  3. Step 3: Cross multiply
    268,002.16x = 401,480.58 × 149,316.08
  4. Step 4: Simplify right side
    268,002.16x = 59,947,506,401.73
  5. Step 5: Solve for x
    x = 59,947,506,401.73/268,002.16
  6. Step 6: Final answer
    x = 223,682.92

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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.