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Finding the Fourth Proportional to 186,713.46, 257,656.77 and 101,825.46

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Solution

The fourth proportional to 186,713.46, 257,656.77 and 101,825.46 is: 140,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,713.46 : 257,656.77 = 101,825.46 : x
  2. Step 2: Convert to fraction form
    186,713.46/257,656.77 = 101,825.46/x
  3. Step 3: Cross multiply
    186,713.46x = 257,656.77 × 101,825.46
  4. Step 4: Simplify right side
    186,713.46x = 26,236,019,127.36
  5. Step 5: Solve for x
    x = 26,236,019,127.36/186,713.46
  6. Step 6: Final answer
    x = 140,514.88

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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.