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Finding the Fourth Proportional to 189,442.64, 284,071.80 and 110,582.48

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Solution

The fourth proportional to 189,442.64, 284,071.80 and 110,582.48 is: 165,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,442.64 : 284,071.80 = 110,582.48 : x
  2. Step 2: Convert to fraction form
    189,442.64/284,071.80 = 110,582.48/x
  3. Step 3: Cross multiply
    189,442.64x = 284,071.80 × 110,582.48
  4. Step 4: Simplify right side
    189,442.64x = 31,413,364,142.06
  5. Step 5: Solve for x
    x = 31,413,364,142.06/189,442.64
  6. Step 6: Final answer
    x = 165,819.92

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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.