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Finding the Fourth Proportional to 189,416.60, 284,125.32 and 77,017.49

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Solution

The fourth proportional to 189,416.60, 284,125.32 and 77,017.49 is: 115,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,416.60 : 284,125.32 = 77,017.49 : x
  2. Step 2: Convert to fraction form
    189,416.60/284,125.32 = 77,017.49/x
  3. Step 3: Cross multiply
    189,416.60x = 284,125.32 × 77,017.49
  4. Step 4: Simplify right side
    189,416.60x = 21,882,618,991.85
  5. Step 5: Solve for x
    x = 21,882,618,991.85/189,416.60
  6. Step 6: Final answer
    x = 115,526.41

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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.