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Finding the Fourth Proportional to 186,647.10, 257,469 and 129,319.98

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Solution

The fourth proportional to 186,647.10, 257,469 and 129,319.98 is: 178,389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,647.10 : 257,469 = 129,319.98 : x
  2. Step 2: Convert to fraction form
    186,647.10/257,469 = 129,319.98/x
  3. Step 3: Cross multiply
    186,647.10x = 257,469 × 129,319.98
  4. Step 4: Simplify right side
    186,647.10x = 33,295,885,930.62
  5. Step 5: Solve for x
    x = 33,295,885,930.62/186,647.10
  6. Step 6: Final answer
    x = 178,389.52

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1.5x scale

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.