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Finding the Fourth Proportional to 100,944.40, 151,416.60 and 34,362.40

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Solution

The fourth proportional to 100,944.40, 151,416.60 and 34,362.40 is: 51,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,944.40 : 151,416.60 = 34,362.40 : x
  2. Step 2: Convert to fraction form
    100,944.40/151,416.60 = 34,362.40/x
  3. Step 3: Cross multiply
    100,944.40x = 151,416.60 × 34,362.40
  4. Step 4: Simplify right side
    100,944.40x = 5,203,037,775.84
  5. Step 5: Solve for x
    x = 5,203,037,775.84/100,944.40
  6. Step 6: Final answer
    x = 51,543.60

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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.