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Finding the Fourth Proportional to 145,422.57, 218,016.18 and 65,401.93

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Solution

The fourth proportional to 145,422.57, 218,016.18 and 65,401.93 is: 98,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,422.57 : 218,016.18 = 65,401.93 : x
  2. Step 2: Convert to fraction form
    145,422.57/218,016.18 = 65,401.93/x
  3. Step 3: Cross multiply
    145,422.57x = 218,016.18 × 65,401.93
  4. Step 4: Simplify right side
    145,422.57x = 14,258,678,234.68
  5. Step 5: Solve for x
    x = 14,258,678,234.68/145,422.57
  6. Step 6: Final answer
    x = 98,049.97

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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.