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Finding the Fourth Proportional to 169,559.84, 233,983.85 and 100,652.20

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Solution

The fourth proportional to 169,559.84, 233,983.85 and 100,652.20 is: 138,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,559.84 : 233,983.85 = 100,652.20 : x
  2. Step 2: Convert to fraction form
    169,559.84/233,983.85 = 100,652.20/x
  3. Step 3: Cross multiply
    169,559.84x = 233,983.85 × 100,652.20
  4. Step 4: Simplify right side
    169,559.84x = 23,550,988,097.05
  5. Step 5: Solve for x
    x = 23,550,988,097.05/169,559.84
  6. Step 6: Final answer
    x = 138,894.85

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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.