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Finding the Fourth Proportional to 176,572.70, 264,859.05 and 164,822.30

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Solution

The fourth proportional to 176,572.70, 264,859.05 and 164,822.30 is: 247,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,572.70 : 264,859.05 = 164,822.30 : x
  2. Step 2: Convert to fraction form
    176,572.70/264,859.05 = 164,822.30/x
  3. Step 3: Cross multiply
    176,572.70x = 264,859.05 × 164,822.30
  4. Step 4: Simplify right side
    176,572.70x = 43,654,677,796.82
  5. Step 5: Solve for x
    x = 43,654,677,796.82/176,572.70
  6. Step 6: Final answer
    x = 247,233.45

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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.