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Finding the Fourth Proportional to 169,000.84, 233,273.04 and 97,428.64

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Solution

The fourth proportional to 169,000.84, 233,273.04 and 97,428.64 is: 134,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,000.84 : 233,273.04 = 97,428.64 : x
  2. Step 2: Convert to fraction form
    169,000.84/233,273.04 = 97,428.64/x
  3. Step 3: Cross multiply
    169,000.84x = 233,273.04 × 97,428.64
  4. Step 4: Simplify right side
    169,000.84x = 22,727,475,035.87
  5. Step 5: Solve for x
    x = 22,727,475,035.87/169,000.84
  6. Step 6: Final answer
    x = 134,481.43

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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.