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Finding the Fourth Proportional to 211,684.70, 292,123.86 and 116,193.02

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Solution

The fourth proportional to 211,684.70, 292,123.86 and 116,193.02 is: 160,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,684.70 : 292,123.86 = 116,193.02 : x
  2. Step 2: Convert to fraction form
    211,684.70/292,123.86 = 116,193.02/x
  3. Step 3: Cross multiply
    211,684.70x = 292,123.86 × 116,193.02
  4. Step 4: Simplify right side
    211,684.70x = 33,942,753,507.46
  5. Step 5: Solve for x
    x = 33,942,753,507.46/211,684.70
  6. Step 6: Final answer
    x = 160,345.80

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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.