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Finding the Fourth Proportional to 145,422.75, 218,016.46 and 65,402.12

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Solution

The fourth proportional to 145,422.75, 218,016.46 and 65,402.12 is: 98,050.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,422.75 : 218,016.46 = 65,402.12 : x
  2. Step 2: Convert to fraction form
    145,422.75/218,016.46 = 65,402.12/x
  3. Step 3: Cross multiply
    145,422.75x = 218,016.46 × 65,402.12
  4. Step 4: Simplify right side
    145,422.75x = 14,258,737,588.81
  5. Step 5: Solve for x
    x = 14,258,737,588.81/145,422.75
  6. Step 6: Final answer
    x = 98,050.25

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