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Finding the Fourth Proportional to 179,709.40, 269,564.10 and 176,944.60

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Solution

The fourth proportional to 179,709.40, 269,564.10 and 176,944.60 is: 265,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,709.40 : 269,564.10 = 176,944.60 : x
  2. Step 2: Convert to fraction form
    179,709.40/269,564.10 = 176,944.60/x
  3. Step 3: Cross multiply
    179,709.40x = 269,564.10 × 176,944.60
  4. Step 4: Simplify right side
    179,709.40x = 47,697,911,848.86
  5. Step 5: Solve for x
    x = 47,697,911,848.86/179,709.40
  6. Step 6: Final answer
    x = 265,416.90

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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.