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Finding the Fourth Proportional to 301,263.91, 451,877.30 and 123,766.31

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Solution

The fourth proportional to 301,263.91, 451,877.30 and 123,766.31 is: 185,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,263.91 : 451,877.30 = 123,766.31 : x
  2. Step 2: Convert to fraction form
    301,263.91/451,877.30 = 123,766.31/x
  3. Step 3: Cross multiply
    301,263.91x = 451,877.30 × 123,766.31
  4. Step 4: Simplify right side
    301,263.91x = 55,927,186,968.75
  5. Step 5: Solve for x
    x = 55,927,186,968.75/301,263.91
  6. Step 6: Final answer
    x = 185,641.84

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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.