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Finding the Fourth Proportional to 132,020.16, 197,984.16 and 53,113.92

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Solution

The fourth proportional to 132,020.16, 197,984.16 and 53,113.92 is: 79,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,020.16 : 197,984.16 = 53,113.92 : x
  2. Step 2: Convert to fraction form
    132,020.16/197,984.16 = 53,113.92/x
  3. Step 3: Cross multiply
    132,020.16x = 197,984.16 × 53,113.92
  4. Step 4: Simplify right side
    132,020.16x = 10,515,714,835.51
  5. Step 5: Solve for x
    x = 10,515,714,835.51/132,020.16
  6. Step 6: Final answer
    x = 79,652.34

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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.