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Finding the Fourth Proportional to 200,258.48, 276,337.80 and 119,669.96

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Solution

The fourth proportional to 200,258.48, 276,337.80 and 119,669.96 is: 165,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,258.48 : 276,337.80 = 119,669.96 : x
  2. Step 2: Convert to fraction form
    200,258.48/276,337.80 = 119,669.96/x
  3. Step 3: Cross multiply
    200,258.48x = 276,337.80 × 119,669.96
  4. Step 4: Simplify right side
    200,258.48x = 33,069,333,472.49
  5. Step 5: Solve for x
    x = 33,069,333,472.49/200,258.48
  6. Step 6: Final answer
    x = 165,133.25

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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.