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Finding the Fourth Proportional to 167,166.72, 230,798.16 and 103,572

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Solution

The fourth proportional to 167,166.72, 230,798.16 and 103,572 is: 142,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,166.72 : 230,798.16 = 103,572 : x
  2. Step 2: Convert to fraction form
    167,166.72/230,798.16 = 103,572/x
  3. Step 3: Cross multiply
    167,166.72x = 230,798.16 × 103,572
  4. Step 4: Simplify right side
    167,166.72x = 23,904,227,027.52
  5. Step 5: Solve for x
    x = 23,904,227,027.52/167,166.72
  6. Step 6: Final answer
    x = 142,996.33

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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.