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Finding the Fourth Proportional to 186,540.92, 257,418.97 and 101,656.16

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Solution

The fourth proportional to 186,540.92, 257,418.97 and 101,656.16 is: 140,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,540.92 : 257,418.97 = 101,656.16 : x
  2. Step 2: Convert to fraction form
    186,540.92/257,418.97 = 101,656.16/x
  3. Step 3: Cross multiply
    186,540.92x = 257,418.97 × 101,656.16
  4. Step 4: Simplify right side
    186,540.92x = 26,168,224,001.36
  5. Step 5: Solve for x
    x = 26,168,224,001.36/186,540.92
  6. Step 6: Final answer
    x = 140,281.41

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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.