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Finding the Fourth Proportional to 114,399.16, 157,733.56 and 98,456.20

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Solution

The fourth proportional to 114,399.16, 157,733.56 and 98,456.20 is: 135,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,399.16 : 157,733.56 = 98,456.20 : x
  2. Step 2: Convert to fraction form
    114,399.16/157,733.56 = 98,456.20/x
  3. Step 3: Cross multiply
    114,399.16x = 157,733.56 × 98,456.20
  4. Step 4: Simplify right side
    114,399.16x = 15,529,846,930.07
  5. Step 5: Solve for x
    x = 15,529,846,930.07/114,399.16
  6. Step 6: Final answer
    x = 135,751.41

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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.