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Finding the Fourth Proportional to 219,909.40, 303,474.98 and 119,307.40

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Solution

The fourth proportional to 219,909.40, 303,474.98 and 119,307.40 is: 164,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,909.40 : 303,474.98 = 119,307.40 : x
  2. Step 2: Convert to fraction form
    219,909.40/303,474.98 = 119,307.40/x
  3. Step 3: Cross multiply
    219,909.40x = 303,474.98 × 119,307.40
  4. Step 4: Simplify right side
    219,909.40x = 36,206,810,828.85
  5. Step 5: Solve for x
    x = 36,206,810,828.85/219,909.40
  6. Step 6: Final answer
    x = 164,644.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.