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Finding the Fourth Proportional to 211,818.38, 292,314.44 and 116,327.12

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Solution

The fourth proportional to 211,818.38, 292,314.44 and 116,327.12 is: 160,534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,818.38 : 292,314.44 = 116,327.12 : x
  2. Step 2: Convert to fraction form
    211,818.38/292,314.44 = 116,327.12/x
  3. Step 3: Cross multiply
    211,818.38x = 292,314.44 × 116,327.12
  4. Step 4: Simplify right side
    211,818.38x = 34,004,094,896.41
  5. Step 5: Solve for x
    x = 34,004,094,896.41/211,818.38
  6. Step 6: Final answer
    x = 160,534.21

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Why These Related Problems?

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