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Finding the Fourth Proportional to 266,330.24, 367,668.29 and 164,411.87

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Solution

The fourth proportional to 266,330.24, 367,668.29 and 164,411.87 is: 226,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,330.24 : 367,668.29 = 164,411.87 : x
  2. Step 2: Convert to fraction form
    266,330.24/367,668.29 = 164,411.87/x
  3. Step 3: Cross multiply
    266,330.24x = 367,668.29 × 164,411.87
  4. Step 4: Simplify right side
    266,330.24x = 60,449,031,195.71
  5. Step 5: Solve for x
    x = 60,449,031,195.71/266,330.24
  6. Step 6: Final answer
    x = 226,970.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.