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Finding the Fourth Proportional to 224,958.72, 310,241.92 and 186,657.60

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Solution

The fourth proportional to 224,958.72, 310,241.92 and 186,657.60 is: 257,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,958.72 : 310,241.92 = 186,657.60 : x
  2. Step 2: Convert to fraction form
    224,958.72/310,241.92 = 186,657.60/x
  3. Step 3: Cross multiply
    224,958.72x = 310,241.92 × 186,657.60
  4. Step 4: Simplify right side
    224,958.72x = 57,909,012,206.59
  5. Step 5: Solve for x
    x = 57,909,012,206.59/224,958.72
  6. Step 6: Final answer
    x = 257,420.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.