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Finding the Fourth Proportional to 114,443, 157,940.64 and 63,460.80

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Solution

The fourth proportional to 114,443, 157,940.64 and 63,460.80 is: 87,581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,443 : 157,940.64 = 63,460.80 : x
  2. Step 2: Convert to fraction form
    114,443/157,940.64 = 63,460.80/x
  3. Step 3: Cross multiply
    114,443x = 157,940.64 × 63,460.80
  4. Step 4: Simplify right side
    114,443x = 10,023,039,366.91
  5. Step 5: Solve for x
    x = 10,023,039,366.91/114,443
  6. Step 6: Final answer
    x = 87,581.06

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