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Finding the Fourth Proportional to 196,290.29, 270,880.65 and 106,866.29

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Solution

The fourth proportional to 196,290.29, 270,880.65 and 106,866.29 is: 147,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,290.29 : 270,880.65 = 106,866.29 : x
  2. Step 2: Convert to fraction form
    196,290.29/270,880.65 = 106,866.29/x
  3. Step 3: Cross multiply
    196,290.29x = 270,880.65 × 106,866.29
  4. Step 4: Simplify right side
    196,290.29x = 28,948,009,563.96
  5. Step 5: Solve for x
    x = 28,948,009,563.96/196,290.29
  6. Step 6: Final answer
    x = 147,475.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.