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Finding the Fourth Proportional to 153,863.40, 230,620.12 and 65,061.48

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Solution

The fourth proportional to 153,863.40, 230,620.12 and 65,061.48 is: 97,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,863.40 : 230,620.12 = 65,061.48 : x
  2. Step 2: Convert to fraction form
    153,863.40/230,620.12 = 65,061.48/x
  3. Step 3: Cross multiply
    153,863.40x = 230,620.12 × 65,061.48
  4. Step 4: Simplify right side
    153,863.40x = 15,004,486,324.98
  5. Step 5: Solve for x
    x = 15,004,486,324.98/153,863.40
  6. Step 6: Final answer
    x = 97,518.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.