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Finding the Fourth Proportional to 189,703.22, 284,585.72 and 88,602.38

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Solution

The fourth proportional to 189,703.22, 284,585.72 and 88,602.38 is: 132,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,703.22 : 284,585.72 = 88,602.38 : x
  2. Step 2: Convert to fraction form
    189,703.22/284,585.72 = 88,602.38/x
  3. Step 3: Cross multiply
    189,703.22x = 284,585.72 × 88,602.38
  4. Step 4: Simplify right side
    189,703.22x = 25,214,970,240.07
  5. Step 5: Solve for x
    x = 25,214,970,240.07/189,703.22
  6. Step 6: Final answer
    x = 132,917.99

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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.