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Finding the Fourth Proportional to 241,889.86, 362,867.64 and 84,097.90

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Solution

The fourth proportional to 241,889.86, 362,867.64 and 84,097.90 is: 126,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,889.86 : 362,867.64 = 84,097.90 : x
  2. Step 2: Convert to fraction form
    241,889.86/362,867.64 = 84,097.90/x
  3. Step 3: Cross multiply
    241,889.86x = 362,867.64 × 84,097.90
  4. Step 4: Simplify right side
    241,889.86x = 30,516,406,501.96
  5. Step 5: Solve for x
    x = 30,516,406,501.96/241,889.86
  6. Step 6: Final answer
    x = 126,158.27

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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.