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Finding the Fourth Proportional to 232,111.98, 320,412.51 and 156,762.54

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Solution

The fourth proportional to 232,111.98, 320,412.51 and 156,762.54 is: 216,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,111.98 : 320,412.51 = 156,762.54 : x
  2. Step 2: Convert to fraction form
    232,111.98/320,412.51 = 156,762.54/x
  3. Step 3: Cross multiply
    232,111.98x = 320,412.51 × 156,762.54
  4. Step 4: Simplify right side
    232,111.98x = 50,228,678,915.38
  5. Step 5: Solve for x
    x = 50,228,678,915.38/232,111.98
  6. Step 6: Final answer
    x = 216,398.48

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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.