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Finding the Fourth Proportional to 138,746.34, 191,449.36 and 84,270.18

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Solution

The fourth proportional to 138,746.34, 191,449.36 and 84,270.18 is: 116,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,746.34 : 191,449.36 = 84,270.18 : x
  2. Step 2: Convert to fraction form
    138,746.34/191,449.36 = 84,270.18/x
  3. Step 3: Cross multiply
    138,746.34x = 191,449.36 × 84,270.18
  4. Step 4: Simplify right side
    138,746.34x = 16,133,472,028.08
  5. Step 5: Solve for x
    x = 16,133,472,028.08/138,746.34
  6. Step 6: Final answer
    x = 116,280.34

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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.