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Finding the Fourth Proportional to 145,960.38, 201,539.34 and 114,219.72

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Solution

The fourth proportional to 145,960.38, 201,539.34 and 114,219.72 is: 157,712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,960.38 : 201,539.34 = 114,219.72 : x
  2. Step 2: Convert to fraction form
    145,960.38/201,539.34 = 114,219.72/x
  3. Step 3: Cross multiply
    145,960.38x = 201,539.34 × 114,219.72
  4. Step 4: Simplify right side
    145,960.38x = 23,019,766,983.78
  5. Step 5: Solve for x
    x = 23,019,766,983.78/145,960.38
  6. Step 6: Final answer
    x = 157,712.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.