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Finding the Fourth Proportional to 138,053.97, 190,468.68 and 112,516.46

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Solution

The fourth proportional to 138,053.97, 190,468.68 and 112,516.46 is: 155,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,053.97 : 190,468.68 = 112,516.46 : x
  2. Step 2: Convert to fraction form
    138,053.97/190,468.68 = 112,516.46/x
  3. Step 3: Cross multiply
    138,053.97x = 190,468.68 × 112,516.46
  4. Step 4: Simplify right side
    138,053.97x = 21,430,860,662.13
  5. Step 5: Solve for x
    x = 21,430,860,662.13/138,053.97
  6. Step 6: Final answer
    x = 155,235.38

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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.