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Finding the Fourth Proportional to 142,295.94, 213,505.83 and 67,468.50

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Solution

The fourth proportional to 142,295.94, 213,505.83 and 67,468.50 is: 101,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,295.94 : 213,505.83 = 67,468.50 : x
  2. Step 2: Convert to fraction form
    142,295.94/213,505.83 = 67,468.50/x
  3. Step 3: Cross multiply
    142,295.94x = 213,505.83 × 67,468.50
  4. Step 4: Simplify right side
    142,295.94x = 14,404,918,091.36
  5. Step 5: Solve for x
    x = 14,404,918,091.36/142,295.94
  6. Step 6: Final answer
    x = 101,232.11

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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.