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Finding the Fourth Proportional to 159,009.94, 238,566.67 and 74,778.48

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Solution

The fourth proportional to 159,009.94, 238,566.67 and 74,778.48 is: 112,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,009.94 : 238,566.67 = 74,778.48 : x
  2. Step 2: Convert to fraction form
    159,009.94/238,566.67 = 74,778.48/x
  3. Step 3: Cross multiply
    159,009.94x = 238,566.67 × 74,778.48
  4. Step 4: Simplify right side
    159,009.94x = 17,839,654,421.72
  5. Step 5: Solve for x
    x = 17,839,654,421.72/159,009.94
  6. Step 6: Final answer
    x = 112,192.07

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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.