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Finding the Fourth Proportional to 159,406.96, 239,054.82 and 47,057.44

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Solution

The fourth proportional to 159,406.96, 239,054.82 and 47,057.44 is: 70,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,406.96 : 239,054.82 = 47,057.44 : x
  2. Step 2: Convert to fraction form
    159,406.96/239,054.82 = 47,057.44/x
  3. Step 3: Cross multiply
    159,406.96x = 239,054.82 × 47,057.44
  4. Step 4: Simplify right side
    159,406.96x = 11,249,307,848.86
  5. Step 5: Solve for x
    x = 11,249,307,848.86/159,406.96
  6. Step 6: Final answer
    x = 70,569.74

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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.