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Finding the Fourth Proportional to 261,533, 392,357.82 and 95,321

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Solution

The fourth proportional to 261,533, 392,357.82 and 95,321 is: 143,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,533 : 392,357.82 = 95,321 : x
  2. Step 2: Convert to fraction form
    261,533/392,357.82 = 95,321/x
  3. Step 3: Cross multiply
    261,533x = 392,357.82 × 95,321
  4. Step 4: Simplify right side
    261,533x = 37,399,939,760.22
  5. Step 5: Solve for x
    x = 37,399,939,760.22/261,533
  6. Step 6: Final answer
    x = 143,002.76

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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.