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Finding the Fourth Proportional to 210,582.72, 315,874.56 and 105,295.68

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Solution

The fourth proportional to 210,582.72, 315,874.56 and 105,295.68 is: 157,943.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,582.72 : 315,874.56 = 105,295.68 : x
  2. Step 2: Convert to fraction form
    210,582.72/315,874.56 = 105,295.68/x
  3. Step 3: Cross multiply
    210,582.72x = 315,874.56 × 105,295.68
  4. Step 4: Simplify right side
    210,582.72x = 33,260,226,589.90
  5. Step 5: Solve for x
    x = 33,260,226,589.90/210,582.72
  6. Step 6: Final answer
    x = 157,943.76

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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.