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Finding the Fourth Proportional to 165,873.50, 248,810.43 and 41,214.50

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Solution

The fourth proportional to 165,873.50, 248,810.43 and 41,214.50 is: 61,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,873.50 : 248,810.43 = 41,214.50 : x
  2. Step 2: Convert to fraction form
    165,873.50/248,810.43 = 41,214.50/x
  3. Step 3: Cross multiply
    165,873.50x = 248,810.43 × 41,214.50
  4. Step 4: Simplify right side
    165,873.50x = 10,254,597,934.71
  5. Step 5: Solve for x
    x = 10,254,597,934.71/165,873.50
  6. Step 6: Final answer
    x = 61,821.80

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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.