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Finding the Fourth Proportional to 202,107.30, 302,642.55 and 192,776.10

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Solution

The fourth proportional to 202,107.30, 302,642.55 and 192,776.10 is: 288,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,107.30 : 302,642.55 = 192,776.10 : x
  2. Step 2: Convert to fraction form
    202,107.30/302,642.55 = 192,776.10/x
  3. Step 3: Cross multiply
    202,107.30x = 302,642.55 × 192,776.10
  4. Step 4: Simplify right side
    202,107.30x = 58,342,250,483.06
  5. Step 5: Solve for x
    x = 58,342,250,483.06/202,107.30
  6. Step 6: Final answer
    x = 288,669.68

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1.5x scale

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.