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Finding the Fourth Proportional to 169,632, 254,448 and 52,896

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Solution

The fourth proportional to 169,632, 254,448 and 52,896 is: 79,344

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,632 : 254,448 = 52,896 : x
  2. Step 2: Convert to fraction form
    169,632/254,448 = 52,896/x
  3. Step 3: Cross multiply
    169,632x = 254,448 × 52,896
  4. Step 4: Simplify right side
    169,632x = 13,459,281,408
  5. Step 5: Solve for x
    x = 13,459,281,408/169,632
  6. Step 6: Final answer
    x = 79,344

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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.