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Finding the Fourth Proportional to 186,708.78, 257,657.76 and 101,825.64

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Solution

The fourth proportional to 186,708.78, 257,657.76 and 101,825.64 is: 140,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,708.78 : 257,657.76 = 101,825.64 : x
  2. Step 2: Convert to fraction form
    186,708.78/257,657.76 = 101,825.64/x
  3. Step 3: Cross multiply
    186,708.78x = 257,657.76 × 101,825.64
  4. Step 4: Simplify right side
    186,708.78x = 26,236,166,312.97
  5. Step 5: Solve for x
    x = 26,236,166,312.97/186,708.78
  6. Step 6: Final answer
    x = 140,519.19

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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.