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Finding the Fourth Proportional to 164,023.80, 245,880.90 and 89,033.40

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Solution

The fourth proportional to 164,023.80, 245,880.90 and 89,033.40 is: 133,466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,023.80 : 245,880.90 = 89,033.40 : x
  2. Step 2: Convert to fraction form
    164,023.80/245,880.90 = 89,033.40/x
  3. Step 3: Cross multiply
    164,023.80x = 245,880.90 × 89,033.40
  4. Step 4: Simplify right side
    164,023.80x = 21,891,612,522.06
  5. Step 5: Solve for x
    x = 21,891,612,522.06/164,023.80
  6. Step 6: Final answer
    x = 133,466.07

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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.