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Finding the Fourth Proportional to 138,147.46, 190,632.59 and 77,706.07

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Solution

The fourth proportional to 138,147.46, 190,632.59 and 77,706.07 is: 107,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,147.46 : 190,632.59 = 77,706.07 : x
  2. Step 2: Convert to fraction form
    138,147.46/190,632.59 = 77,706.07/x
  3. Step 3: Cross multiply
    138,147.46x = 190,632.59 × 77,706.07
  4. Step 4: Simplify right side
    138,147.46x = 14,813,309,382.82
  5. Step 5: Solve for x
    x = 14,813,309,382.82/138,147.46
  6. Step 6: Final answer
    x = 107,228.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.