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Finding the Fourth Proportional to 229,082, 316,271.40 and 149,732.24

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Solution

The fourth proportional to 229,082, 316,271.40 and 149,732.24 is: 206,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,082 : 316,271.40 = 149,732.24 : x
  2. Step 2: Convert to fraction form
    229,082/316,271.40 = 149,732.24/x
  3. Step 3: Cross multiply
    229,082x = 316,271.40 × 149,732.24
  4. Step 4: Simplify right side
    229,082x = 47,356,025,169.94
  5. Step 5: Solve for x
    x = 47,356,025,169.94/229,082
  6. Step 6: Final answer
    x = 206,720.85

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Why These Related Problems?

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