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Finding the Fourth Proportional to 165,807.63, 248,719.28 and 47,496.33

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Solution

The fourth proportional to 165,807.63, 248,719.28 and 47,496.33 is: 71,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,807.63 : 248,719.28 = 47,496.33 : x
  2. Step 2: Convert to fraction form
    165,807.63/248,719.28 = 47,496.33/x
  3. Step 3: Cross multiply
    165,807.63x = 248,719.28 × 47,496.33
  4. Step 4: Simplify right side
    165,807.63x = 11,813,252,762.76
  5. Step 5: Solve for x
    x = 11,813,252,762.76/165,807.63
  6. Step 6: Final answer
    x = 71,246.74

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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.