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Finding the Fourth Proportional to 101,944.48, 152,642.64 and 83,146.96

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Solution

The fourth proportional to 101,944.48, 152,642.64 and 83,146.96 is: 124,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,944.48 : 152,642.64 = 83,146.96 : x
  2. Step 2: Convert to fraction form
    101,944.48/152,642.64 = 83,146.96/x
  3. Step 3: Cross multiply
    101,944.48x = 152,642.64 × 83,146.96
  4. Step 4: Simplify right side
    101,944.48x = 12,691,771,482.37
  5. Step 5: Solve for x
    x = 12,691,771,482.37/101,944.48
  6. Step 6: Final answer
    x = 124,496.90

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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.