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Finding the Fourth Proportional to 165,770.70, 248,656.05 and 54,962.70

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Solution

The fourth proportional to 165,770.70, 248,656.05 and 54,962.70 is: 82,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,770.70 : 248,656.05 = 54,962.70 : x
  2. Step 2: Convert to fraction form
    165,770.70/248,656.05 = 54,962.70/x
  3. Step 3: Cross multiply
    165,770.70x = 248,656.05 × 54,962.70
  4. Step 4: Simplify right side
    165,770.70x = 13,666,807,879.34
  5. Step 5: Solve for x
    x = 13,666,807,879.34/165,770.70
  6. Step 6: Final answer
    x = 82,444.05

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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.