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Finding the Fourth Proportional to 165,875.64, 248,813.61 and 41,216.64

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Solution

The fourth proportional to 165,875.64, 248,813.61 and 41,216.64 is: 61,825.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,875.64 : 248,813.61 = 41,216.64 : x
  2. Step 2: Convert to fraction form
    165,875.64/248,813.61 = 41,216.64/x
  3. Step 3: Cross multiply
    165,875.64x = 248,813.61 × 41,216.64
  4. Step 4: Simplify right side
    165,875.64x = 10,255,260,990.47
  5. Step 5: Solve for x
    x = 10,255,260,990.47/165,875.64
  6. Step 6: Final answer
    x = 61,825.00

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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.