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Finding the Fourth Proportional to 232,216.28, 320,462.14 and 130,264.40

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Solution

The fourth proportional to 232,216.28, 320,462.14 and 130,264.40 is: 179,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,216.28 : 320,462.14 = 130,264.40 : x
  2. Step 2: Convert to fraction form
    232,216.28/320,462.14 = 130,264.40/x
  3. Step 3: Cross multiply
    232,216.28x = 320,462.14 × 130,264.40
  4. Step 4: Simplify right side
    232,216.28x = 41,744,808,389.82
  5. Step 5: Solve for x
    x = 41,744,808,389.82/232,216.28
  6. Step 6: Final answer
    x = 179,766.93

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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.