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Finding the Fourth Proportional to 157,162, 235,786.20 and 46,354

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Solution

The fourth proportional to 157,162, 235,786.20 and 46,354 is: 69,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,162 : 235,786.20 = 46,354 : x
  2. Step 2: Convert to fraction form
    157,162/235,786.20 = 46,354/x
  3. Step 3: Cross multiply
    157,162x = 235,786.20 × 46,354
  4. Step 4: Simplify right side
    157,162x = 10,929,633,514.80
  5. Step 5: Solve for x
    x = 10,929,633,514.80/157,162
  6. Step 6: Final answer
    x = 69,543.74

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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.