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Finding the Fourth Proportional to 102,077.33, 153,016.21 and 45,931.57

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Solution

The fourth proportional to 102,077.33, 153,016.21 and 45,931.57 is: 68,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,077.33 : 153,016.21 = 45,931.57 : x
  2. Step 2: Convert to fraction form
    102,077.33/153,016.21 = 45,931.57/x
  3. Step 3: Cross multiply
    102,077.33x = 153,016.21 × 45,931.57
  4. Step 4: Simplify right side
    102,077.33x = 7,028,275,425.52
  5. Step 5: Solve for x
    x = 7,028,275,425.52/102,077.33
  6. Step 6: Final answer
    x = 68,852.46

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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.