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Finding the Fourth Proportional to 154,472.46, 213,147.36 and 86,492.28

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Solution

The fourth proportional to 154,472.46, 213,147.36 and 86,492.28 is: 119,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,472.46 : 213,147.36 = 86,492.28 : x
  2. Step 2: Convert to fraction form
    154,472.46/213,147.36 = 86,492.28/x
  3. Step 3: Cross multiply
    154,472.46x = 213,147.36 × 86,492.28
  4. Step 4: Simplify right side
    154,472.46x = 18,435,601,142.38
  5. Step 5: Solve for x
    x = 18,435,601,142.38/154,472.46
  6. Step 6: Final answer
    x = 119,345.55

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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.