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Finding the Fourth Proportional to 145,258.63, 217,896.14 and 51,764.38

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Solution

The fourth proportional to 145,258.63, 217,896.14 and 51,764.38 is: 77,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,258.63 : 217,896.14 = 51,764.38 : x
  2. Step 2: Convert to fraction form
    145,258.63/217,896.14 = 51,764.38/x
  3. Step 3: Cross multiply
    145,258.63x = 217,896.14 × 51,764.38
  4. Step 4: Simplify right side
    145,258.63x = 11,279,258,591.49
  5. Step 5: Solve for x
    x = 11,279,258,591.49/145,258.63
  6. Step 6: Final answer
    x = 77,649.49

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