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Finding the Fourth Proportional to 100,258, 138,356.07 and 59,973.46

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Solution

The fourth proportional to 100,258, 138,356.07 and 59,973.46 is: 82,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,258 : 138,356.07 = 59,973.46 : x
  2. Step 2: Convert to fraction form
    100,258/138,356.07 = 59,973.46/x
  3. Step 3: Cross multiply
    100,258x = 138,356.07 × 59,973.46
  4. Step 4: Simplify right side
    100,258x = 8,297,692,229.90
  5. Step 5: Solve for x
    x = 8,297,692,229.90/100,258
  6. Step 6: Final answer
    x = 82,763.39

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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.