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Finding the Fourth Proportional to 301,056.16, 451,601.52 and 90,672.16

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Solution

The fourth proportional to 301,056.16, 451,601.52 and 90,672.16 is: 136,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,056.16 : 451,601.52 = 90,672.16 : x
  2. Step 2: Convert to fraction form
    301,056.16/451,601.52 = 90,672.16/x
  3. Step 3: Cross multiply
    301,056.16x = 451,601.52 × 90,672.16
  4. Step 4: Simplify right side
    301,056.16x = 40,947,685,277.68
  5. Step 5: Solve for x
    x = 40,947,685,277.68/301,056.16
  6. Step 6: Final answer
    x = 136,013.44

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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.