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Finding the Fourth Proportional to 235,477.05, 353,409.98 and 109,311.45

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Solution

The fourth proportional to 235,477.05, 353,409.98 and 109,311.45 is: 164,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,477.05 : 353,409.98 = 109,311.45 : x
  2. Step 2: Convert to fraction form
    235,477.05/353,409.98 = 109,311.45/x
  3. Step 3: Cross multiply
    235,477.05x = 353,409.98 × 109,311.45
  4. Step 4: Simplify right side
    235,477.05x = 38,631,756,811.71
  5. Step 5: Solve for x
    x = 38,631,756,811.71/235,477.05
  6. Step 6: Final answer
    x = 164,057.42

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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.