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Finding the Fourth Proportional to 223,686.32, 335,587.56 and 83,446

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Solution

The fourth proportional to 223,686.32, 335,587.56 and 83,446 is: 125,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,686.32 : 335,587.56 = 83,446 : x
  2. Step 2: Convert to fraction form
    223,686.32/335,587.56 = 83,446/x
  3. Step 3: Cross multiply
    223,686.32x = 335,587.56 × 83,446
  4. Step 4: Simplify right side
    223,686.32x = 28,003,439,531.76
  5. Step 5: Solve for x
    x = 28,003,439,531.76/223,686.32
  6. Step 6: Final answer
    x = 125,190.67

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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.