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Finding the Fourth Proportional to 132,646.54, 198,844.74 and 66,023.69

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Solution

The fourth proportional to 132,646.54, 198,844.74 and 66,023.69 is: 98,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,646.54 : 198,844.74 = 66,023.69 : x
  2. Step 2: Convert to fraction form
    132,646.54/198,844.74 = 66,023.69/x
  3. Step 3: Cross multiply
    132,646.54x = 198,844.74 × 66,023.69
  4. Step 4: Simplify right side
    132,646.54x = 13,128,463,471.89
  5. Step 5: Solve for x
    x = 13,128,463,471.89/132,646.54
  6. Step 6: Final answer
    x = 98,973.28

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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.