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Finding the Fourth Proportional to 191,825.68, 287,738.52 and 81,018.64

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Solution

The fourth proportional to 191,825.68, 287,738.52 and 81,018.64 is: 121,527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,825.68 : 287,738.52 = 81,018.64 : x
  2. Step 2: Convert to fraction form
    191,825.68/287,738.52 = 81,018.64/x
  3. Step 3: Cross multiply
    191,825.68x = 287,738.52 × 81,018.64
  4. Step 4: Simplify right side
    191,825.68x = 23,312,183,566.01
  5. Step 5: Solve for x
    x = 23,312,183,566.01/191,825.68
  6. Step 6: Final answer
    x = 121,527.96

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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.