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Finding the Fourth Proportional to 223,823.70, 335,267.16 and 135,030.30

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Solution

The fourth proportional to 223,823.70, 335,267.16 and 135,030.30 is: 202,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,823.70 : 335,267.16 = 135,030.30 : x
  2. Step 2: Convert to fraction form
    223,823.70/335,267.16 = 135,030.30/x
  3. Step 3: Cross multiply
    223,823.70x = 335,267.16 × 135,030.30
  4. Step 4: Simplify right side
    223,823.70x = 45,271,225,194.95
  5. Step 5: Solve for x
    x = 45,271,225,194.95/223,823.70
  6. Step 6: Final answer
    x = 202,262.88

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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.