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Finding the Fourth Proportional to 189,848.80, 284,816.40 and 110,922.40

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Solution

The fourth proportional to 189,848.80, 284,816.40 and 110,922.40 is: 166,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,848.80 : 284,816.40 = 110,922.40 : x
  2. Step 2: Convert to fraction form
    189,848.80/284,816.40 = 110,922.40/x
  3. Step 3: Cross multiply
    189,848.80x = 284,816.40 × 110,922.40
  4. Step 4: Simplify right side
    189,848.80x = 31,592,518,647.36
  5. Step 5: Solve for x
    x = 31,592,518,647.36/189,848.80
  6. Step 6: Final answer
    x = 166,408.84

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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.