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Finding the Fourth Proportional to 219,266.10, 328,909.95 and 114,290.10

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Solution

The fourth proportional to 219,266.10, 328,909.95 and 114,290.10 is: 171,440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,266.10 : 328,909.95 = 114,290.10 : x
  2. Step 2: Convert to fraction form
    219,266.10/328,909.95 = 114,290.10/x
  3. Step 3: Cross multiply
    219,266.10x = 328,909.95 × 114,290.10
  4. Step 4: Simplify right side
    219,266.10x = 37,591,151,076.50
  5. Step 5: Solve for x
    x = 37,591,151,076.50/219,266.10
  6. Step 6: Final answer
    x = 171,440.78

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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.