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Finding the Fourth Proportional to 219,947.89, 330,155.13 and 194,810.58

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Solution

The fourth proportional to 219,947.89, 330,155.13 and 194,810.58 is: 292,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,947.89 : 330,155.13 = 194,810.58 : x
  2. Step 2: Convert to fraction form
    219,947.89/330,155.13 = 194,810.58/x
  3. Step 3: Cross multiply
    219,947.89x = 330,155.13 × 194,810.58
  4. Step 4: Simplify right side
    219,947.89x = 64,317,712,365.28
  5. Step 5: Solve for x
    x = 64,317,712,365.28/219,947.89
  6. Step 6: Final answer
    x = 292,422.50

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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.