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Finding the Fourth Proportional to 161,178.96, 241,768.56 and 61,316.16

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Solution

The fourth proportional to 161,178.96, 241,768.56 and 61,316.16 is: 91,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,178.96 : 241,768.56 = 61,316.16 : x
  2. Step 2: Convert to fraction form
    161,178.96/241,768.56 = 61,316.16/x
  3. Step 3: Cross multiply
    161,178.96x = 241,768.56 × 61,316.16
  4. Step 4: Simplify right side
    161,178.96x = 14,824,319,707.93
  5. Step 5: Solve for x
    x = 14,824,319,707.93/161,178.96
  6. Step 6: Final answer
    x = 91,974.29

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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.