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Finding the Fourth Proportional to 211,580.76, 291,959.82 and 126,695.64

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Solution

The fourth proportional to 211,580.76, 291,959.82 and 126,695.64 is: 174,827.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,580.76 : 291,959.82 = 126,695.64 : x
  2. Step 2: Convert to fraction form
    211,580.76/291,959.82 = 126,695.64/x
  3. Step 3: Cross multiply
    211,580.76x = 291,959.82 × 126,695.64
  4. Step 4: Simplify right side
    211,580.76x = 36,990,036,249.18
  5. Step 5: Solve for x
    x = 36,990,036,249.18/211,580.76
  6. Step 6: Final answer
    x = 174,827.03

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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.