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Finding the Fourth Proportional to 147,878.88, 221,906.16 and 54,450.24

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Solution

The fourth proportional to 147,878.88, 221,906.16 and 54,450.24 is: 81,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,878.88 : 221,906.16 = 54,450.24 : x
  2. Step 2: Convert to fraction form
    147,878.88/221,906.16 = 54,450.24/x
  3. Step 3: Cross multiply
    147,878.88x = 221,906.16 × 54,450.24
  4. Step 4: Simplify right side
    147,878.88x = 12,082,843,669.48
  5. Step 5: Solve for x
    x = 12,082,843,669.48/147,878.88
  6. Step 6: Final answer
    x = 81,707.70

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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.