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Finding the Fourth Proportional to 100,365.59, 138,497.63 and 55,042.58

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Solution

The fourth proportional to 100,365.59, 138,497.63 and 55,042.58 is: 75,954.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,365.59 : 138,497.63 = 55,042.58 : x
  2. Step 2: Convert to fraction form
    100,365.59/138,497.63 = 55,042.58/x
  3. Step 3: Cross multiply
    100,365.59x = 138,497.63 × 55,042.58
  4. Step 4: Simplify right side
    100,365.59x = 7,623,265,911.38
  5. Step 5: Solve for x
    x = 7,623,265,911.38/100,365.59
  6. Step 6: Final answer
    x = 75,954.98

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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.