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Finding the Fourth Proportional to 211,796.30, 292,259.85 and 116,300.90

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Solution

The fourth proportional to 211,796.30, 292,259.85 and 116,300.90 is: 160,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,796.30 : 292,259.85 = 116,300.90 : x
  2. Step 2: Convert to fraction form
    211,796.30/292,259.85 = 116,300.90/x
  3. Step 3: Cross multiply
    211,796.30x = 292,259.85 × 116,300.90
  4. Step 4: Simplify right side
    211,796.30x = 33,990,083,588.87
  5. Step 5: Solve for x
    x = 33,990,083,588.87/211,796.30
  6. Step 6: Final answer
    x = 160,484.78

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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.