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Finding the Fourth Proportional to 126,380.16, 174,362.60 and 83,381

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Solution

The fourth proportional to 126,380.16, 174,362.60 and 83,381 is: 115,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,380.16 : 174,362.60 = 83,381 : x
  2. Step 2: Convert to fraction form
    126,380.16/174,362.60 = 83,381/x
  3. Step 3: Cross multiply
    126,380.16x = 174,362.60 × 83,381
  4. Step 4: Simplify right side
    126,380.16x = 14,538,527,950.60
  5. Step 5: Solve for x
    x = 14,538,527,950.60/126,380.16
  6. Step 6: Final answer
    x = 115,038.06

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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.