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Finding the Fourth Proportional to 104,906.98, 144,825.24 and 71,094.16

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Solution

The fourth proportional to 104,906.98, 144,825.24 and 71,094.16 is: 98,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,906.98 : 144,825.24 = 71,094.16 : x
  2. Step 2: Convert to fraction form
    104,906.98/144,825.24 = 71,094.16/x
  3. Step 3: Cross multiply
    104,906.98x = 144,825.24 × 71,094.16
  4. Step 4: Simplify right side
    104,906.98x = 10,296,228,784.60
  5. Step 5: Solve for x
    x = 10,296,228,784.60/104,906.98
  6. Step 6: Final answer
    x = 98,146.27

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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.