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Finding the Fourth Proportional to 137,013.32, 205,379.84 and 69,420.14

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Solution

The fourth proportional to 137,013.32, 205,379.84 and 69,420.14 is: 104,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,013.32 : 205,379.84 = 69,420.14 : x
  2. Step 2: Convert to fraction form
    137,013.32/205,379.84 = 69,420.14/x
  3. Step 3: Cross multiply
    137,013.32x = 205,379.84 × 69,420.14
  4. Step 4: Simplify right side
    137,013.32x = 14,257,496,772.31
  5. Step 5: Solve for x
    x = 14,257,496,772.31/137,013.32
  6. Step 6: Final answer
    x = 104,059.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.