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Finding the Fourth Proportional to 232,331, 320,567.34 and 136,802.84

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Solution

The fourth proportional to 232,331, 320,567.34 and 136,802.84 is: 188,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,331 : 320,567.34 = 136,802.84 : x
  2. Step 2: Convert to fraction form
    232,331/320,567.34 = 136,802.84/x
  3. Step 3: Cross multiply
    232,331x = 320,567.34 × 136,802.84
  4. Step 4: Simplify right side
    232,331x = 43,854,522,523.25
  5. Step 5: Solve for x
    x = 43,854,522,523.25/232,331
  6. Step 6: Final answer
    x = 188,758.81

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1.5x scale

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.