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Finding the Fourth Proportional to 136,466.32, 204,699.48 and 53,302

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Solution

The fourth proportional to 136,466.32, 204,699.48 and 53,302 is: 79,953

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,466.32 : 204,699.48 = 53,302 : x
  2. Step 2: Convert to fraction form
    136,466.32/204,699.48 = 53,302/x
  3. Step 3: Cross multiply
    136,466.32x = 204,699.48 × 53,302
  4. Step 4: Simplify right side
    136,466.32x = 10,910,891,682.96
  5. Step 5: Solve for x
    x = 10,910,891,682.96/136,466.32
  6. Step 6: Final answer
    x = 79,953

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.