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Finding the Fourth Proportional to 276,726.92, 415,258.38 and 110,501

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Solution

The fourth proportional to 276,726.92, 415,258.38 and 110,501 is: 165,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,726.92 : 415,258.38 = 110,501 : x
  2. Step 2: Convert to fraction form
    276,726.92/415,258.38 = 110,501/x
  3. Step 3: Cross multiply
    276,726.92x = 415,258.38 × 110,501
  4. Step 4: Simplify right side
    276,726.92x = 45,886,466,248.38
  5. Step 5: Solve for x
    x = 45,886,466,248.38/276,726.92
  6. Step 6: Final answer
    x = 165,818.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.