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Finding the Fourth Proportional to 138,201.84, 190,710.48 and 77,774.88

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Solution

The fourth proportional to 138,201.84, 190,710.48 and 77,774.88 is: 107,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,201.84 : 190,710.48 = 77,774.88 : x
  2. Step 2: Convert to fraction form
    138,201.84/190,710.48 = 77,774.88/x
  3. Step 3: Cross multiply
    138,201.84x = 190,710.48 × 77,774.88
  4. Step 4: Simplify right side
    138,201.84x = 14,832,484,696.74
  5. Step 5: Solve for x
    x = 14,832,484,696.74/138,201.84
  6. Step 6: Final answer
    x = 107,324.80

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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.