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Finding the Fourth Proportional to 145,716.84, 218,583.90 and 45,880.20

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Solution

The fourth proportional to 145,716.84, 218,583.90 and 45,880.20 is: 68,823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,716.84 : 218,583.90 = 45,880.20 : x
  2. Step 2: Convert to fraction form
    145,716.84/218,583.90 = 45,880.20/x
  3. Step 3: Cross multiply
    145,716.84x = 218,583.90 × 45,880.20
  4. Step 4: Simplify right side
    145,716.84x = 10,028,673,048.78
  5. Step 5: Solve for x
    x = 10,028,673,048.78/145,716.84
  6. Step 6: Final answer
    x = 68,823.02

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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.