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Finding the Fourth Proportional to 165,957.48, 248,937 and 41,298.48

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Solution

The fourth proportional to 165,957.48, 248,937 and 41,298.48 is: 61,947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,957.48 : 248,937 = 41,298.48 : x
  2. Step 2: Convert to fraction form
    165,957.48/248,937 = 41,298.48/x
  3. Step 3: Cross multiply
    165,957.48x = 248,937 × 41,298.48
  4. Step 4: Simplify right side
    165,957.48x = 10,280,719,715.76
  5. Step 5: Solve for x
    x = 10,280,719,715.76/165,957.48
  6. Step 6: Final answer
    x = 61,947.91

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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.