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Finding the Fourth Proportional to 223,893.98, 335,714.61 and 83,595.50

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Solution

The fourth proportional to 223,893.98, 335,714.61 and 83,595.50 is: 125,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,893.98 : 335,714.61 = 83,595.50 : x
  2. Step 2: Convert to fraction form
    223,893.98/335,714.61 = 83,595.50/x
  3. Step 3: Cross multiply
    223,893.98x = 335,714.61 × 83,595.50
  4. Step 4: Simplify right side
    223,893.98x = 28,064,230,680.26
  5. Step 5: Solve for x
    x = 28,064,230,680.26/223,893.98
  6. Step 6: Final answer
    x = 125,346.07

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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.