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Finding the Fourth Proportional to 137,852.10, 190,235.94 and 77,422.83

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Solution

The fourth proportional to 137,852.10, 190,235.94 and 77,422.83 is: 106,843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,852.10 : 190,235.94 = 77,422.83 : x
  2. Step 2: Convert to fraction form
    137,852.10/190,235.94 = 77,422.83/x
  3. Step 3: Cross multiply
    137,852.10x = 190,235.94 × 77,422.83
  4. Step 4: Simplify right side
    137,852.10x = 14,728,604,842.51
  5. Step 5: Solve for x
    x = 14,728,604,842.51/137,852.10
  6. Step 6: Final answer
    x = 106,843.53

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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.