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Finding the Fourth Proportional to 314,142.88, 471,292.08 and 147,892

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Solution

The fourth proportional to 314,142.88, 471,292.08 and 147,892 is: 221,874.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,142.88 : 471,292.08 = 147,892 : x
  2. Step 2: Convert to fraction form
    314,142.88/471,292.08 = 147,892/x
  3. Step 3: Cross multiply
    314,142.88x = 471,292.08 × 147,892
  4. Step 4: Simplify right side
    314,142.88x = 69,700,328,295.36
  5. Step 5: Solve for x
    x = 69,700,328,295.36/314,142.88
  6. Step 6: Final answer
    x = 221,874.61

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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.