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Finding the Fourth Proportional to 239,214.40, 358,821.60 and 164,564.80

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Solution

The fourth proportional to 239,214.40, 358,821.60 and 164,564.80 is: 246,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,214.40 : 358,821.60 = 164,564.80 : x
  2. Step 2: Convert to fraction form
    239,214.40/358,821.60 = 164,564.80/x
  3. Step 3: Cross multiply
    239,214.40x = 358,821.60 × 164,564.80
  4. Step 4: Simplify right side
    239,214.40x = 59,049,404,839.68
  5. Step 5: Solve for x
    x = 59,049,404,839.68/239,214.40
  6. Step 6: Final answer
    x = 246,847.20

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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.