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Finding the Fourth Proportional to 285,275.09, 427,917.50 and 107,865.65

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Solution

The fourth proportional to 285,275.09, 427,917.50 and 107,865.65 is: 161,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,275.09 : 427,917.50 = 107,865.65 : x
  2. Step 2: Convert to fraction form
    285,275.09/427,917.50 = 107,865.65/x
  3. Step 3: Cross multiply
    285,275.09x = 427,917.50 × 107,865.65
  4. Step 4: Simplify right side
    285,275.09x = 46,157,599,283.88
  5. Step 5: Solve for x
    x = 46,157,599,283.88/285,275.09
  6. Step 6: Final answer
    x = 161,800.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.