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Finding the Fourth Proportional to 189,423.54, 284,124.92 and 114,523.58

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Solution

The fourth proportional to 189,423.54, 284,124.92 and 114,523.58 is: 171,779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,423.54 : 284,124.92 = 114,523.58 : x
  2. Step 2: Convert to fraction form
    189,423.54/284,124.92 = 114,523.58/x
  3. Step 3: Cross multiply
    189,423.54x = 284,124.92 × 114,523.58
  4. Step 4: Simplify right side
    189,423.54x = 32,539,003,005.61
  5. Step 5: Solve for x
    x = 32,539,003,005.61/189,423.54
  6. Step 6: Final answer
    x = 171,779.09

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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.