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Finding the Fourth Proportional to 186,382.59, 257,199.21 and 105,799.47

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Solution

The fourth proportional to 186,382.59, 257,199.21 and 105,799.47 is: 145,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,382.59 : 257,199.21 = 105,799.47 : x
  2. Step 2: Convert to fraction form
    186,382.59/257,199.21 = 105,799.47/x
  3. Step 3: Cross multiply
    186,382.59x = 257,199.21 × 105,799.47
  4. Step 4: Simplify right side
    186,382.59x = 27,211,540,102.42
  5. Step 5: Solve for x
    x = 27,211,540,102.42/186,382.59
  6. Step 6: Final answer
    x = 145,998.29

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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.