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Finding the Fourth Proportional to 169,298.32, 233,593.84 and 97,673.80

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Solution

The fourth proportional to 169,298.32, 233,593.84 and 97,673.80 is: 134,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,298.32 : 233,593.84 = 97,673.80 : x
  2. Step 2: Convert to fraction form
    169,298.32/233,593.84 = 97,673.80/x
  3. Step 3: Cross multiply
    169,298.32x = 233,593.84 × 97,673.80
  4. Step 4: Simplify right side
    169,298.32x = 22,815,998,009.39
  5. Step 5: Solve for x
    x = 22,815,998,009.39/169,298.32
  6. Step 6: Final answer
    x = 134,768.01

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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.