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Finding the Fourth Proportional to 177,286.08, 265,978.34 and 98,455.67

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Solution

The fourth proportional to 177,286.08, 265,978.34 and 98,455.67 is: 147,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,286.08 : 265,978.34 = 98,455.67 : x
  2. Step 2: Convert to fraction form
    177,286.08/265,978.34 = 98,455.67/x
  3. Step 3: Cross multiply
    177,286.08x = 265,978.34 × 98,455.67
  4. Step 4: Simplify right side
    177,286.08x = 26,187,073,848.02
  5. Step 5: Solve for x
    x = 26,187,073,848.02/177,286.08
  6. Step 6: Final answer
    x = 147,710.83

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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.