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Finding the Fourth Proportional to 232,301.93, 320,537.80 and 136,827.64

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Solution

The fourth proportional to 232,301.93, 320,537.80 and 136,827.64 is: 188,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,301.93 : 320,537.80 = 136,827.64 : x
  2. Step 2: Convert to fraction form
    232,301.93/320,537.80 = 136,827.64/x
  3. Step 3: Cross multiply
    232,301.93x = 320,537.80 × 136,827.64
  4. Step 4: Simplify right side
    232,301.93x = 43,858,430,704.79
  5. Step 5: Solve for x
    x = 43,858,430,704.79/232,301.93
  6. Step 6: Final answer
    x = 188,799.25

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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.