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Finding the Fourth Proportional to 211,633.50, 292,053.36 and 116,141.76

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Solution

The fourth proportional to 211,633.50, 292,053.36 and 116,141.76 is: 160,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,633.50 : 292,053.36 = 116,141.76 : x
  2. Step 2: Convert to fraction form
    211,633.50/292,053.36 = 116,141.76/x
  3. Step 3: Cross multiply
    211,633.50x = 292,053.36 × 116,141.76
  4. Step 4: Simplify right side
    211,633.50x = 33,919,591,244.31
  5. Step 5: Solve for x
    x = 33,919,591,244.31/211,633.50
  6. Step 6: Final answer
    x = 160,275.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.