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Finding the Fourth Proportional to 189,856.56, 284,561.28 and 77,466.63

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Solution

The fourth proportional to 189,856.56, 284,561.28 and 77,466.63 is: 116,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,856.56 : 284,561.28 = 77,466.63 : x
  2. Step 2: Convert to fraction form
    189,856.56/284,561.28 = 77,466.63/x
  3. Step 3: Cross multiply
    189,856.56x = 284,561.28 × 77,466.63
  4. Step 4: Simplify right side
    189,856.56x = 22,044,003,390.09
  5. Step 5: Solve for x
    x = 22,044,003,390.09/189,856.56
  6. Step 6: Final answer
    x = 116,108.73

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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.