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Finding the Fourth Proportional to 154,356.98, 213,022.51 and 86,381.78

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Solution

The fourth proportional to 154,356.98, 213,022.51 and 86,381.78 is: 119,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,356.98 : 213,022.51 = 86,381.78 : x
  2. Step 2: Convert to fraction form
    154,356.98/213,022.51 = 86,381.78/x
  3. Step 3: Cross multiply
    154,356.98x = 213,022.51 × 86,381.78
  4. Step 4: Simplify right side
    154,356.98x = 18,401,262,312.80
  5. Step 5: Solve for x
    x = 18,401,262,312.80/154,356.98
  6. Step 6: Final answer
    x = 119,212.38

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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.