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Finding the Fourth Proportional to 272,007.21, 375,404.47 and 164,578.13

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Solution

The fourth proportional to 272,007.21, 375,404.47 and 164,578.13 is: 227,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,007.21 : 375,404.47 = 164,578.13 : x
  2. Step 2: Convert to fraction form
    272,007.21/375,404.47 = 164,578.13/x
  3. Step 3: Cross multiply
    272,007.21x = 375,404.47 × 164,578.13
  4. Step 4: Simplify right side
    272,007.21x = 61,783,365,711.29
  5. Step 5: Solve for x
    x = 61,783,365,711.29/272,007.21
  6. Step 6: Final answer
    x = 227,138.70

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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.