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Finding the Fourth Proportional to 219,324, 329,017.42 and 67,533.95

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Solution

The fourth proportional to 219,324, 329,017.42 and 67,533.95 is: 101,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,324 : 329,017.42 = 67,533.95 : x
  2. Step 2: Convert to fraction form
    219,324/329,017.42 = 67,533.95/x
  3. Step 3: Cross multiply
    219,324x = 329,017.42 × 67,533.95
  4. Step 4: Simplify right side
    219,324x = 22,219,845,991.41
  5. Step 5: Solve for x
    x = 22,219,845,991.41/219,324
  6. Step 6: Final answer
    x = 101,310.60

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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.