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Finding the Fourth Proportional to 223,602.70, 335,732.10 and 135,029.20

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Solution

The fourth proportional to 223,602.70, 335,732.10 and 135,029.20 is: 202,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,602.70 : 335,732.10 = 135,029.20 : x
  2. Step 2: Convert to fraction form
    223,602.70/335,732.10 = 135,029.20/x
  3. Step 3: Cross multiply
    223,602.70x = 335,732.10 × 135,029.20
  4. Step 4: Simplify right side
    223,602.70x = 45,333,636,877.32
  5. Step 5: Solve for x
    x = 45,333,636,877.32/223,602.70
  6. Step 6: Final answer
    x = 202,741.90

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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.