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Finding the Fourth Proportional to 181,762.97, 272,654.62 and 55,407.32

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Solution

The fourth proportional to 181,762.97, 272,654.62 and 55,407.32 is: 83,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,762.97 : 272,654.62 = 55,407.32 : x
  2. Step 2: Convert to fraction form
    181,762.97/272,654.62 = 55,407.32/x
  3. Step 3: Cross multiply
    181,762.97x = 272,654.62 × 55,407.32
  4. Step 4: Simplify right side
    181,762.97x = 15,107,060,278.03
  5. Step 5: Solve for x
    x = 15,107,060,278.03/181,762.97
  6. Step 6: Final answer
    x = 83,114.07

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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.