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Finding the Fourth Proportional to 219,093.90, 328,770.45 and 144,429.90

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Solution

The fourth proportional to 219,093.90, 328,770.45 and 144,429.90 is: 216,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,093.90 : 328,770.45 = 144,429.90 : x
  2. Step 2: Convert to fraction form
    219,093.90/328,770.45 = 144,429.90/x
  3. Step 3: Cross multiply
    219,093.90x = 328,770.45 × 144,429.90
  4. Step 4: Simplify right side
    219,093.90x = 47,484,283,216.46
  5. Step 5: Solve for x
    x = 47,484,283,216.46/219,093.90
  6. Step 6: Final answer
    x = 216,730.28

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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.