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Finding the Fourth Proportional to 150,653.88, 207,895.32 and 82,669.14

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Solution

The fourth proportional to 150,653.88, 207,895.32 and 82,669.14 is: 114,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,653.88 : 207,895.32 = 82,669.14 : x
  2. Step 2: Convert to fraction form
    150,653.88/207,895.32 = 82,669.14/x
  3. Step 3: Cross multiply
    150,653.88x = 207,895.32 × 82,669.14
  4. Step 4: Simplify right side
    150,653.88x = 17,186,527,314.42
  5. Step 5: Solve for x
    x = 17,186,527,314.42/150,653.88
  6. Step 6: Final answer
    x = 114,079.55

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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.