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Finding the Fourth Proportional to 305,150.32, 421,132.26 and 169,197.76

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Solution

The fourth proportional to 305,150.32, 421,132.26 and 169,197.76 is: 233,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,150.32 : 421,132.26 = 169,197.76 : x
  2. Step 2: Convert to fraction form
    305,150.32/421,132.26 = 169,197.76/x
  3. Step 3: Cross multiply
    305,150.32x = 421,132.26 × 169,197.76
  4. Step 4: Simplify right side
    305,150.32x = 71,254,635,055.74
  5. Step 5: Solve for x
    x = 71,254,635,055.74/305,150.32
  6. Step 6: Final answer
    x = 233,506.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.