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Finding the Fourth Proportional to 193,031.64, 266,398.42 and 121,473

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Solution

The fourth proportional to 193,031.64, 266,398.42 and 121,473 is: 167,642.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,031.64 : 266,398.42 = 121,473 : x
  2. Step 2: Convert to fraction form
    193,031.64/266,398.42 = 121,473/x
  3. Step 3: Cross multiply
    193,031.64x = 266,398.42 × 121,473
  4. Step 4: Simplify right side
    193,031.64x = 32,360,215,272.66
  5. Step 5: Solve for x
    x = 32,360,215,272.66/193,031.64
  6. Step 6: Final answer
    x = 167,642.03

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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.