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Finding the Fourth Proportional to 101,822.19, 152,671.89 and 45,652.14

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Solution

The fourth proportional to 101,822.19, 152,671.89 and 45,652.14 is: 68,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,822.19 : 152,671.89 = 45,652.14 : x
  2. Step 2: Convert to fraction form
    101,822.19/152,671.89 = 45,652.14/x
  3. Step 3: Cross multiply
    101,822.19x = 152,671.89 × 45,652.14
  4. Step 4: Simplify right side
    101,822.19x = 6,969,798,496.34
  5. Step 5: Solve for x
    x = 6,969,798,496.34/101,822.19
  6. Step 6: Final answer
    x = 68,450.68

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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.