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Finding the Fourth Proportional to 165,957.12, 248,935.74 and 41,298.12

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Solution

The fourth proportional to 165,957.12, 248,935.74 and 41,298.12 is: 61,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,957.12 : 248,935.74 = 41,298.12 : x
  2. Step 2: Convert to fraction form
    165,957.12/248,935.74 = 41,298.12/x
  3. Step 3: Cross multiply
    165,957.12x = 248,935.74 × 41,298.12
  4. Step 4: Simplify right side
    165,957.12x = 10,280,578,062.81
  5. Step 5: Solve for x
    x = 10,280,578,062.81/165,957.12
  6. Step 6: Final answer
    x = 61,947.19

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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.