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Finding the Fourth Proportional to 161,503.74, 242,271.75 and 61,747.86

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Solution

The fourth proportional to 161,503.74, 242,271.75 and 61,747.86 is: 92,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,503.74 : 242,271.75 = 61,747.86 : x
  2. Step 2: Convert to fraction form
    161,503.74/242,271.75 = 61,747.86/x
  3. Step 3: Cross multiply
    161,503.74x = 242,271.75 × 61,747.86
  4. Step 4: Simplify right side
    161,503.74x = 14,959,762,100.96
  5. Step 5: Solve for x
    x = 14,959,762,100.96/161,503.74
  6. Step 6: Final answer
    x = 92,627.96

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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.