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Finding the Fourth Proportional to 272,092.84, 375,430.50 and 164,641.96

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Solution

The fourth proportional to 272,092.84, 375,430.50 and 164,641.96 is: 227,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,092.84 : 375,430.50 = 164,641.96 : x
  2. Step 2: Convert to fraction form
    272,092.84/375,430.50 = 164,641.96/x
  3. Step 3: Cross multiply
    272,092.84x = 375,430.50 × 164,641.96
  4. Step 4: Simplify right side
    272,092.84x = 61,811,613,363.78
  5. Step 5: Solve for x
    x = 61,811,613,363.78/272,092.84
  6. Step 6: Final answer
    x = 227,171.04

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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.