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Finding the Fourth Proportional to 171,481, 257,239.32 and 46,822

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Solution

The fourth proportional to 171,481, 257,239.32 and 46,822 is: 70,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,481 : 257,239.32 = 46,822 : x
  2. Step 2: Convert to fraction form
    171,481/257,239.32 = 46,822/x
  3. Step 3: Cross multiply
    171,481x = 257,239.32 × 46,822
  4. Step 4: Simplify right side
    171,481x = 12,044,459,441.04
  5. Step 5: Solve for x
    x = 12,044,459,441.04/171,481
  6. Step 6: Final answer
    x = 70,237.87

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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.