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Finding the Fourth Proportional to 211,659.84, 292,044.96 and 122,184

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Solution

The fourth proportional to 211,659.84, 292,044.96 and 122,184 is: 168,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,659.84 : 292,044.96 = 122,184 : x
  2. Step 2: Convert to fraction form
    211,659.84/292,044.96 = 122,184/x
  3. Step 3: Cross multiply
    211,659.84x = 292,044.96 × 122,184
  4. Step 4: Simplify right side
    211,659.84x = 35,683,221,392.64
  5. Step 5: Solve for x
    x = 35,683,221,392.64/211,659.84
  6. Step 6: Final answer
    x = 168,587.59

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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.