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Finding the Fourth Proportional to 161,507.74, 242,277.76 and 61,751.86

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Solution

The fourth proportional to 161,507.74, 242,277.76 and 61,751.86 is: 92,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,507.74 : 242,277.76 = 61,751.86 : x
  2. Step 2: Convert to fraction form
    161,507.74/242,277.76 = 61,751.86/x
  3. Step 3: Cross multiply
    161,507.74x = 242,277.76 × 61,751.86
  4. Step 4: Simplify right side
    161,507.74x = 14,961,102,316.63
  5. Step 5: Solve for x
    x = 14,961,102,316.63/161,507.74
  6. Step 6: Final answer
    x = 92,633.96

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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.