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Finding the Fourth Proportional to 189,995.24, 284,900.80 and 77,630.84

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Solution

The fourth proportional to 189,995.24, 284,900.80 and 77,630.84 is: 116,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,995.24 : 284,900.80 = 77,630.84 : x
  2. Step 2: Convert to fraction form
    189,995.24/284,900.80 = 77,630.84/x
  3. Step 3: Cross multiply
    189,995.24x = 284,900.80 × 77,630.84
  4. Step 4: Simplify right side
    189,995.24x = 22,117,088,420.67
  5. Step 5: Solve for x
    x = 22,117,088,420.67/189,995.24
  6. Step 6: Final answer
    x = 116,408.64

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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.