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Finding the Fourth Proportional to 186,447.35, 257,297.41 and 101,564.42

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Solution

The fourth proportional to 186,447.35, 257,297.41 and 101,564.42 is: 140,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,447.35 : 257,297.41 = 101,564.42 : x
  2. Step 2: Convert to fraction form
    186,447.35/257,297.41 = 101,564.42/x
  3. Step 3: Cross multiply
    186,447.35x = 257,297.41 × 101,564.42
  4. Step 4: Simplify right side
    186,447.35x = 26,132,261,054.62
  5. Step 5: Solve for x
    x = 26,132,261,054.62/186,447.35
  6. Step 6: Final answer
    x = 140,158.93

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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.