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Finding the Fourth Proportional to 219,664.32, 329,155.67 and 152,327.70

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Solution

The fourth proportional to 219,664.32, 329,155.67 and 152,327.70 is: 228,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,664.32 : 329,155.67 = 152,327.70 : x
  2. Step 2: Convert to fraction form
    219,664.32/329,155.67 = 152,327.70/x
  3. Step 3: Cross multiply
    219,664.32x = 329,155.67 × 152,327.70
  4. Step 4: Simplify right side
    219,664.32x = 50,139,526,153.06
  5. Step 5: Solve for x
    x = 50,139,526,153.06/219,664.32
  6. Step 6: Final answer
    x = 228,255.21

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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.