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Finding the Fourth Proportional to 186,653.58, 257,580.63 and 101,774.22

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Solution

The fourth proportional to 186,653.58, 257,580.63 and 101,774.22 is: 140,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,653.58 : 257,580.63 = 101,774.22 : x
  2. Step 2: Convert to fraction form
    186,653.58/257,580.63 = 101,774.22/x
  3. Step 3: Cross multiply
    186,653.58x = 257,580.63 × 101,774.22
  4. Step 4: Simplify right side
    186,653.58x = 26,215,067,705.36
  5. Step 5: Solve for x
    x = 26,215,067,705.36/186,653.58
  6. Step 6: Final answer
    x = 140,447.71

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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.