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Finding the Fourth Proportional to 159,033.72, 238,513.65 and 46,683.76

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Solution

The fourth proportional to 159,033.72, 238,513.65 and 46,683.76 is: 70,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,033.72 : 238,513.65 = 46,683.76 : x
  2. Step 2: Convert to fraction form
    159,033.72/238,513.65 = 46,683.76/x
  3. Step 3: Cross multiply
    159,033.72x = 238,513.65 × 46,683.76
  4. Step 4: Simplify right side
    159,033.72x = 11,134,713,993.32
  5. Step 5: Solve for x
    x = 11,134,713,993.32/159,033.72
  6. Step 6: Final answer
    x = 70,014.80

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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.