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Finding the Fourth Proportional to 138,444.28, 191,071.38 and 78,028

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Solution

The fourth proportional to 138,444.28, 191,071.38 and 78,028 is: 107,688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,444.28 : 191,071.38 = 78,028 : x
  2. Step 2: Convert to fraction form
    138,444.28/191,071.38 = 78,028/x
  3. Step 3: Cross multiply
    138,444.28x = 191,071.38 × 78,028
  4. Step 4: Simplify right side
    138,444.28x = 14,908,917,638.64
  5. Step 5: Solve for x
    x = 14,908,917,638.64/138,444.28
  6. Step 6: Final answer
    x = 107,688.94

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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.