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Finding the Fourth Proportional to 161,072.77, 241,502.51 and 76,845.93

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Solution

The fourth proportional to 161,072.77, 241,502.51 and 76,845.93 is: 115,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,072.77 : 241,502.51 = 76,845.93 : x
  2. Step 2: Convert to fraction form
    161,072.77/241,502.51 = 76,845.93/x
  3. Step 3: Cross multiply
    161,072.77x = 241,502.51 × 76,845.93
  4. Step 4: Simplify right side
    161,072.77x = 18,558,484,978.28
  5. Step 5: Solve for x
    x = 18,558,484,978.28/161,072.77
  6. Step 6: Final answer
    x = 115,218.02

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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.