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Finding the Fourth Proportional to 189,864.58, 284,840.07 and 101,071.30

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Solution

The fourth proportional to 189,864.58, 284,840.07 and 101,071.30 is: 151,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,864.58 : 284,840.07 = 101,071.30 : x
  2. Step 2: Convert to fraction form
    189,864.58/284,840.07 = 101,071.30/x
  3. Step 3: Cross multiply
    189,864.58x = 284,840.07 × 101,071.30
  4. Step 4: Simplify right side
    189,864.58x = 28,789,156,166.99
  5. Step 5: Solve for x
    x = 28,789,156,166.99/189,864.58
  6. Step 6: Final answer
    x = 151,629.95

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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.