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Finding the Fourth Proportional to 186,859.68, 257,871.80 and 101,982.24

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Solution

The fourth proportional to 186,859.68, 257,871.80 and 101,982.24 is: 140,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,859.68 : 257,871.80 = 101,982.24 : x
  2. Step 2: Convert to fraction form
    186,859.68/257,871.80 = 101,982.24/x
  3. Step 3: Cross multiply
    186,859.68x = 257,871.80 × 101,982.24
  4. Step 4: Simplify right side
    186,859.68x = 26,298,343,796.83
  5. Step 5: Solve for x
    x = 26,298,343,796.83/186,859.68
  6. Step 6: Final answer
    x = 140,738.46

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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.