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Finding the Fourth Proportional to 165,465.88, 248,116.80 and 58,833.84

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Solution

The fourth proportional to 165,465.88, 248,116.80 and 58,833.84 is: 88,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,465.88 : 248,116.80 = 58,833.84 : x
  2. Step 2: Convert to fraction form
    165,465.88/248,116.80 = 58,833.84/x
  3. Step 3: Cross multiply
    165,465.88x = 248,116.80 × 58,833.84
  4. Step 4: Simplify right side
    165,465.88x = 14,597,664,112.51
  5. Step 5: Solve for x
    x = 14,597,664,112.51/165,465.88
  6. Step 6: Final answer
    x = 88,221.60

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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.