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Finding the Fourth Proportional to 186,713.52, 257,662.06 and 101,830.56

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Solution

The fourth proportional to 186,713.52, 257,662.06 and 101,830.56 is: 140,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,713.52 : 257,662.06 = 101,830.56 : x
  2. Step 2: Convert to fraction form
    186,713.52/257,662.06 = 101,830.56/x
  3. Step 3: Cross multiply
    186,713.52x = 257,662.06 × 101,830.56
  4. Step 4: Simplify right side
    186,713.52x = 26,237,871,860.55
  5. Step 5: Solve for x
    x = 26,237,871,860.55/186,713.52
  6. Step 6: Final answer
    x = 140,524.76

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1.5x scale

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.