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Finding the Fourth Proportional to 147,178.16, 220,800.16 and 53,683.91

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Solution

The fourth proportional to 147,178.16, 220,800.16 and 53,683.91 is: 80,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,178.16 : 220,800.16 = 53,683.91 : x
  2. Step 2: Convert to fraction form
    147,178.16/220,800.16 = 53,683.91/x
  3. Step 3: Cross multiply
    147,178.16x = 220,800.16 × 53,683.91
  4. Step 4: Simplify right side
    147,178.16x = 11,853,415,917.43
  5. Step 5: Solve for x
    x = 11,853,415,917.43/147,178.16
  6. Step 6: Final answer
    x = 80,537.87

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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.