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Finding the Fourth Proportional to 301,399.48, 451,822.74 and 135,096.76

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Solution

The fourth proportional to 301,399.48, 451,822.74 and 135,096.76 is: 202,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,399.48 : 451,822.74 = 135,096.76 : x
  2. Step 2: Convert to fraction form
    301,399.48/451,822.74 = 135,096.76/x
  3. Step 3: Cross multiply
    301,399.48x = 451,822.74 × 135,096.76
  4. Step 4: Simplify right side
    301,399.48x = 61,039,788,268.32
  5. Step 5: Solve for x
    x = 61,039,788,268.32/301,399.48
  6. Step 6: Final answer
    x = 202,521.21

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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.