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Finding the Fourth Proportional to 219,651.40, 329,039.70 and 114,529.60

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Solution

The fourth proportional to 219,651.40, 329,039.70 and 114,529.60 is: 171,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,651.40 : 329,039.70 = 114,529.60 : x
  2. Step 2: Convert to fraction form
    219,651.40/329,039.70 = 114,529.60/x
  3. Step 3: Cross multiply
    219,651.40x = 329,039.70 × 114,529.60
  4. Step 4: Simplify right side
    219,651.40x = 37,684,785,225.12
  5. Step 5: Solve for x
    x = 37,684,785,225.12/219,651.40
  6. Step 6: Final answer
    x = 171,566.33

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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.