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Finding the Fourth Proportional to 165,643.80, 248,465.70 and 54,835.80

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Solution

The fourth proportional to 165,643.80, 248,465.70 and 54,835.80 is: 82,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,643.80 : 248,465.70 = 54,835.80 : x
  2. Step 2: Convert to fraction form
    165,643.80/248,465.70 = 54,835.80/x
  3. Step 3: Cross multiply
    165,643.80x = 248,465.70 × 54,835.80
  4. Step 4: Simplify right side
    165,643.80x = 13,624,815,432.06
  5. Step 5: Solve for x
    x = 13,624,815,432.06/165,643.80
  6. Step 6: Final answer
    x = 82,253.70

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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.