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Finding the Fourth Proportional to 211,026.30, 291,224.16 and 120,397.02

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Solution

The fourth proportional to 211,026.30, 291,224.16 and 120,397.02 is: 166,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,026.30 : 291,224.16 = 120,397.02 : x
  2. Step 2: Convert to fraction form
    211,026.30/291,224.16 = 120,397.02/x
  3. Step 3: Cross multiply
    211,026.30x = 291,224.16 × 120,397.02
  4. Step 4: Simplify right side
    211,026.30x = 35,062,521,016.00
  5. Step 5: Solve for x
    x = 35,062,521,016.00/211,026.30
  6. Step 6: Final answer
    x = 166,152.38

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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.