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Finding the Fourth Proportional to 211,777.83, 292,253.41 and 116,284.53

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Solution

The fourth proportional to 211,777.83, 292,253.41 and 116,284.53 is: 160,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,777.83 : 292,253.41 = 116,284.53 : x
  2. Step 2: Convert to fraction form
    211,777.83/292,253.41 = 116,284.53/x
  3. Step 3: Cross multiply
    211,777.83x = 292,253.41 × 116,284.53
  4. Step 4: Simplify right side
    211,777.83x = 33,984,550,422.75
  5. Step 5: Solve for x
    x = 33,984,550,422.75/211,777.83
  6. Step 6: Final answer
    x = 160,472.65

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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.