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Finding the Fourth Proportional to 219,729.40, 329,723.70 and 145,065.40

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Solution

The fourth proportional to 219,729.40, 329,723.70 and 145,065.40 is: 217,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,729.40 : 329,723.70 = 145,065.40 : x
  2. Step 2: Convert to fraction form
    219,729.40/329,723.70 = 145,065.40/x
  3. Step 3: Cross multiply
    219,729.40x = 329,723.70 × 145,065.40
  4. Step 4: Simplify right side
    219,729.40x = 47,831,500,429.98
  5. Step 5: Solve for x
    x = 47,831,500,429.98/219,729.40
  6. Step 6: Final answer
    x = 217,683.66

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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.