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Finding the Fourth Proportional to 186,441.60, 257,282.15 and 113,965.84

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Solution

The fourth proportional to 186,441.60, 257,282.15 and 113,965.84 is: 157,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,441.60 : 257,282.15 = 113,965.84 : x
  2. Step 2: Convert to fraction form
    186,441.60/257,282.15 = 113,965.84/x
  3. Step 3: Cross multiply
    186,441.60x = 257,282.15 × 113,965.84
  4. Step 4: Simplify right side
    186,441.60x = 29,321,376,341.76
  5. Step 5: Solve for x
    x = 29,321,376,341.76/186,441.60
  6. Step 6: Final answer
    x = 157,268.42

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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.