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Finding the Fourth Proportional to 159,098.77, 238,648.06 and 46,779.92

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Solution

The fourth proportional to 159,098.77, 238,648.06 and 46,779.92 is: 70,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,098.77 : 238,648.06 = 46,779.92 : x
  2. Step 2: Convert to fraction form
    159,098.77/238,648.06 = 46,779.92/x
  3. Step 3: Cross multiply
    159,098.77x = 238,648.06 × 46,779.92
  4. Step 4: Simplify right side
    159,098.77x = 11,163,935,727.82
  5. Step 5: Solve for x
    x = 11,163,935,727.82/159,098.77
  6. Step 6: Final answer
    x = 70,169.85

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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.