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Finding the Fourth Proportional to 207,033, 285,922.38 and 142,669.62

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Solution

The fourth proportional to 207,033, 285,922.38 and 142,669.62 is: 197,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,033 : 285,922.38 = 142,669.62 : x
  2. Step 2: Convert to fraction form
    207,033/285,922.38 = 142,669.62/x
  3. Step 3: Cross multiply
    207,033x = 285,922.38 × 142,669.62
  4. Step 4: Simplify right side
    207,033x = 40,792,437,304.10
  5. Step 5: Solve for x
    x = 40,792,437,304.10/207,033
  6. Step 6: Final answer
    x = 197,033.50

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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.