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Finding the Fourth Proportional to 267,158.42, 400,653.81 and 77,631.89

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Solution

The fourth proportional to 267,158.42, 400,653.81 and 77,631.89 is: 116,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,158.42 : 400,653.81 = 77,631.89 : x
  2. Step 2: Convert to fraction form
    267,158.42/400,653.81 = 77,631.89/x
  3. Step 3: Cross multiply
    267,158.42x = 400,653.81 × 77,631.89
  4. Step 4: Simplify right side
    267,158.42x = 31,103,510,502.73
  5. Step 5: Solve for x
    x = 31,103,510,502.73/267,158.42
  6. Step 6: Final answer
    x = 116,423.47

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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.