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Finding the Fourth Proportional to 159,684.51, 239,576.66 and 47,365.36

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Solution

The fourth proportional to 159,684.51, 239,576.66 and 47,365.36 is: 71,062.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,684.51 : 239,576.66 = 47,365.36 : x
  2. Step 2: Convert to fraction form
    159,684.51/239,576.66 = 47,365.36/x
  3. Step 3: Cross multiply
    159,684.51x = 239,576.66 × 47,365.36
  4. Step 4: Simplify right side
    159,684.51x = 11,347,634,748.50
  5. Step 5: Solve for x
    x = 11,347,634,748.50/159,684.51
  6. Step 6: Final answer
    x = 71,062.84

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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.