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Finding the Fourth Proportional to 242,074.71, 362,861.98 and 92,274.80

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Solution

The fourth proportional to 242,074.71, 362,861.98 and 92,274.80 is: 138,316.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,074.71 : 362,861.98 = 92,274.80 : x
  2. Step 2: Convert to fraction form
    242,074.71/362,861.98 = 92,274.80/x
  3. Step 3: Cross multiply
    242,074.71x = 362,861.98 × 92,274.80
  4. Step 4: Simplify right side
    242,074.71x = 33,483,014,587.11
  5. Step 5: Solve for x
    x = 33,483,014,587.11/242,074.71
  6. Step 6: Final answer
    x = 138,316.86

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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.