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Finding the Fourth Proportional to 138,156.30, 190,655.46 and 77,726.97

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Solution

The fourth proportional to 138,156.30, 190,655.46 and 77,726.97 is: 107,263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,156.30 : 190,655.46 = 77,726.97 : x
  2. Step 2: Convert to fraction form
    138,156.30/190,655.46 = 77,726.97/x
  3. Step 3: Cross multiply
    138,156.30x = 190,655.46 × 77,726.97
  4. Step 4: Simplify right side
    138,156.30x = 14,819,071,219.76
  5. Step 5: Solve for x
    x = 14,819,071,219.76/138,156.30
  6. Step 6: Final answer
    x = 107,263.09

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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.