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Finding the Fourth Proportional to 145,624.18, 218,465.44 and 45,809.50

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Solution

The fourth proportional to 145,624.18, 218,465.44 and 45,809.50 is: 68,723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,624.18 : 218,465.44 = 45,809.50 : x
  2. Step 2: Convert to fraction form
    145,624.18/218,465.44 = 45,809.50/x
  3. Step 3: Cross multiply
    145,624.18x = 218,465.44 × 45,809.50
  4. Step 4: Simplify right side
    145,624.18x = 10,007,792,573.68
  5. Step 5: Solve for x
    x = 10,007,792,573.68/145,624.18
  6. Step 6: Final answer
    x = 68,723.43

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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.