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Finding the Fourth Proportional to 132,054.30, 197,777.70 and 108,434.70

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Solution

The fourth proportional to 132,054.30, 197,777.70 and 108,434.70 is: 162,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,054.30 : 197,777.70 = 108,434.70 : x
  2. Step 2: Convert to fraction form
    132,054.30/197,777.70 = 108,434.70/x
  3. Step 3: Cross multiply
    132,054.30x = 197,777.70 × 108,434.70
  4. Step 4: Simplify right side
    132,054.30x = 21,445,965,566.19
  5. Step 5: Solve for x
    x = 21,445,965,566.19/132,054.30
  6. Step 6: Final answer
    x = 162,402.63

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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.