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Finding the Fourth Proportional to 211,691.76, 292,133.52 and 116,200.08

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Solution

The fourth proportional to 211,691.76, 292,133.52 and 116,200.08 is: 160,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,691.76 : 292,133.52 = 116,200.08 : x
  2. Step 2: Convert to fraction form
    211,691.76/292,133.52 = 116,200.08/x
  3. Step 3: Cross multiply
    211,691.76x = 292,133.52 × 116,200.08
  4. Step 4: Simplify right side
    211,691.76x = 33,945,938,394.68
  5. Step 5: Solve for x
    x = 33,945,938,394.68/211,691.76
  6. Step 6: Final answer
    x = 160,355.50

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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.