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Finding the Fourth Proportional to 211,909.81, 292,451.93 and 121,294.20

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Solution

The fourth proportional to 211,909.81, 292,451.93 and 121,294.20 is: 167,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,909.81 : 292,451.93 = 121,294.20 : x
  2. Step 2: Convert to fraction form
    211,909.81/292,451.93 = 121,294.20/x
  3. Step 3: Cross multiply
    211,909.81x = 292,451.93 × 121,294.20
  4. Step 4: Simplify right side
    211,909.81x = 35,472,722,281.34
  5. Step 5: Solve for x
    x = 35,472,722,281.34/211,909.81
  6. Step 6: Final answer
    x = 167,395.38

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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.