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Finding the Fourth Proportional to 138,143.07, 190,637.16 and 77,713.76

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Solution

The fourth proportional to 138,143.07, 190,637.16 and 77,713.76 is: 107,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,143.07 : 190,637.16 = 77,713.76 : x
  2. Step 2: Convert to fraction form
    138,143.07/190,637.16 = 77,713.76/x
  3. Step 3: Cross multiply
    138,143.07x = 190,637.16 × 77,713.76
  4. Step 4: Simplify right side
    138,143.07x = 14,815,130,499.32
  5. Step 5: Solve for x
    x = 14,815,130,499.32/138,143.07
  6. Step 6: Final answer
    x = 107,244.83

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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.