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Finding the Fourth Proportional to 219,129.40, 328,823.70 and 144,465.40

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Solution

The fourth proportional to 219,129.40, 328,823.70 and 144,465.40 is: 216,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,129.40 : 328,823.70 = 144,465.40 : x
  2. Step 2: Convert to fraction form
    219,129.40/328,823.70 = 144,465.40/x
  3. Step 3: Cross multiply
    219,129.40x = 328,823.70 × 144,465.40
  4. Step 4: Simplify right side
    219,129.40x = 47,503,647,349.98
  5. Step 5: Solve for x
    x = 47,503,647,349.98/219,129.40
  6. Step 6: Final answer
    x = 216,783.54

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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.