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Finding the Fourth Proportional to 186,451.44, 257,400.52 and 145,527.82

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Solution

The fourth proportional to 186,451.44, 257,400.52 and 145,527.82 is: 200,904.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,451.44 : 257,400.52 = 145,527.82 : x
  2. Step 2: Convert to fraction form
    186,451.44/257,400.52 = 145,527.82/x
  3. Step 3: Cross multiply
    186,451.44x = 257,400.52 × 145,527.82
  4. Step 4: Simplify right side
    186,451.44x = 37,458,936,542.47
  5. Step 5: Solve for x
    x = 37,458,936,542.47/186,451.44
  6. Step 6: Final answer
    x = 200,904.52

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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.