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Finding the Fourth Proportional to 177,295.50, 265,986.99 and 52,636.50

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Solution

The fourth proportional to 177,295.50, 265,986.99 and 52,636.50 is: 78,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,295.50 : 265,986.99 = 52,636.50 : x
  2. Step 2: Convert to fraction form
    177,295.50/265,986.99 = 52,636.50/x
  3. Step 3: Cross multiply
    177,295.50x = 265,986.99 × 52,636.50
  4. Step 4: Simplify right side
    177,295.50x = 14,000,624,199.14
  5. Step 5: Solve for x
    x = 14,000,624,199.14/177,295.50
  6. Step 6: Final answer
    x = 78,967.74

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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.