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Finding the Fourth Proportional to 100,905.60, 151,357.89 and 48,155.16

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Solution

The fourth proportional to 100,905.60, 151,357.89 and 48,155.16 is: 72,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,905.60 : 151,357.89 = 48,155.16 : x
  2. Step 2: Convert to fraction form
    100,905.60/151,357.89 = 48,155.16/x
  3. Step 3: Cross multiply
    100,905.60x = 151,357.89 × 48,155.16
  4. Step 4: Simplify right side
    100,905.60x = 7,288,663,410.21
  5. Step 5: Solve for x
    x = 7,288,663,410.21/100,905.60
  6. Step 6: Final answer
    x = 72,232.50

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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.