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Finding the Fourth Proportional to 211,796.57, 292,281.30 and 116,305.26

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Solution

The fourth proportional to 211,796.57, 292,281.30 and 116,305.26 is: 160,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,796.57 : 292,281.30 = 116,305.26 : x
  2. Step 2: Convert to fraction form
    211,796.57/292,281.30 = 116,305.26/x
  3. Step 3: Cross multiply
    211,796.57x = 292,281.30 × 116,305.26
  4. Step 4: Simplify right side
    211,796.57x = 33,993,852,008.11
  5. Step 5: Solve for x
    x = 33,993,852,008.11/211,796.57
  6. Step 6: Final answer
    x = 160,502.38

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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.