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Finding the Fourth Proportional to 301,863.37, 452,810.57 and 77,225.75

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Solution

The fourth proportional to 301,863.37, 452,810.57 and 77,225.75 is: 115,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,863.37 : 452,810.57 = 77,225.75 : x
  2. Step 2: Convert to fraction form
    301,863.37/452,810.57 = 77,225.75/x
  3. Step 3: Cross multiply
    301,863.37x = 452,810.57 × 77,225.75
  4. Step 4: Simplify right side
    301,863.37x = 34,968,635,876.18
  5. Step 5: Solve for x
    x = 34,968,635,876.18/301,863.37
  6. Step 6: Final answer
    x = 115,842.59

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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.