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Finding the Fourth Proportional to 189,789.48, 284,684.22 and 77,522.67

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Solution

The fourth proportional to 189,789.48, 284,684.22 and 77,522.67 is: 116,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,789.48 : 284,684.22 = 77,522.67 : x
  2. Step 2: Convert to fraction form
    189,789.48/284,684.22 = 77,522.67/x
  3. Step 3: Cross multiply
    189,789.48x = 284,684.22 × 77,522.67
  4. Step 4: Simplify right side
    189,789.48x = 22,069,480,841.27
  5. Step 5: Solve for x
    x = 22,069,480,841.27/189,789.48
  6. Step 6: Final answer
    x = 116,284.01

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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.