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Finding the Fourth Proportional to 200,400.48, 300,616.52 and 67,280.22

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Solution

The fourth proportional to 200,400.48, 300,616.52 and 67,280.22 is: 100,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,400.48 : 300,616.52 = 67,280.22 : x
  2. Step 2: Convert to fraction form
    200,400.48/300,616.52 = 67,280.22/x
  3. Step 3: Cross multiply
    200,400.48x = 300,616.52 × 67,280.22
  4. Step 4: Simplify right side
    200,400.48x = 20,225,545,264.83
  5. Step 5: Solve for x
    x = 20,225,545,264.83/200,400.48
  6. Step 6: Final answer
    x = 100,925.63

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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.