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Finding the Fourth Proportional to 159,098.64, 238,647.87 and 46,779.78

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Solution

The fourth proportional to 159,098.64, 238,647.87 and 46,779.78 is: 70,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,098.64 : 238,647.87 = 46,779.78 : x
  2. Step 2: Convert to fraction form
    159,098.64/238,647.87 = 46,779.78/x
  3. Step 3: Cross multiply
    159,098.64x = 238,647.87 × 46,779.78
  4. Step 4: Simplify right side
    159,098.64x = 11,163,894,856.07
  5. Step 5: Solve for x
    x = 11,163,894,856.07/159,098.64
  6. Step 6: Final answer
    x = 70,169.64

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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.