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Finding the Fourth Proportional to 169,150.34, 233,424.34 and 97,533.38

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Solution

The fourth proportional to 169,150.34, 233,424.34 and 97,533.38 is: 134,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,150.34 : 233,424.34 = 97,533.38 : x
  2. Step 2: Convert to fraction form
    169,150.34/233,424.34 = 97,533.38/x
  3. Step 3: Cross multiply
    169,150.34x = 233,424.34 × 97,533.38
  4. Step 4: Simplify right side
    169,150.34x = 22,766,664,854.47
  5. Step 5: Solve for x
    x = 22,766,664,854.47/169,150.34
  6. Step 6: Final answer
    x = 134,594.26

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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.