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Finding the Fourth Proportional to 301,225.96, 451,888.62 and 123,685.84

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Solution

The fourth proportional to 301,225.96, 451,888.62 and 123,685.84 is: 185,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,225.96 : 451,888.62 = 123,685.84 : x
  2. Step 2: Convert to fraction form
    301,225.96/451,888.62 = 123,685.84/x
  3. Step 3: Cross multiply
    301,225.96x = 451,888.62 × 123,685.84
  4. Step 4: Simplify right side
    301,225.96x = 55,892,223,551.14
  5. Step 5: Solve for x
    x = 55,892,223,551.14/301,225.96
  6. Step 6: Final answer
    x = 185,549.16

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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.