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Finding the Fourth Proportional to 186,649.30, 257,571.66 and 101,766.16

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Solution

The fourth proportional to 186,649.30, 257,571.66 and 101,766.16 is: 140,434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,649.30 : 257,571.66 = 101,766.16 : x
  2. Step 2: Convert to fraction form
    186,649.30/257,571.66 = 101,766.16/x
  3. Step 3: Cross multiply
    186,649.30x = 257,571.66 × 101,766.16
  4. Step 4: Simplify right side
    186,649.30x = 26,212,078,763.03
  5. Step 5: Solve for x
    x = 26,212,078,763.03/186,649.30
  6. Step 6: Final answer
    x = 140,434.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.