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Finding the Fourth Proportional to 138,156.43, 190,642.38 and 77,725.81

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Solution

The fourth proportional to 138,156.43, 190,642.38 and 77,725.81 is: 107,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,156.43 : 190,642.38 = 77,725.81 : x
  2. Step 2: Convert to fraction form
    138,156.43/190,642.38 = 77,725.81/x
  3. Step 3: Cross multiply
    138,156.43x = 190,642.38 × 77,725.81
  4. Step 4: Simplify right side
    138,156.43x = 14,817,833,405.83
  5. Step 5: Solve for x
    x = 14,817,833,405.83/138,156.43
  6. Step 6: Final answer
    x = 107,254.03

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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.