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Finding the Fourth Proportional to 186,728, 257,899.60 and 135,967.68

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Solution

The fourth proportional to 186,728, 257,899.60 and 135,967.68 is: 187,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,728 : 257,899.60 = 135,967.68 : x
  2. Step 2: Convert to fraction form
    186,728/257,899.60 = 135,967.68/x
  3. Step 3: Cross multiply
    186,728x = 257,899.60 × 135,967.68
  4. Step 4: Simplify right side
    186,728x = 35,066,010,284.93
  5. Step 5: Solve for x
    x = 35,066,010,284.93/186,728
  6. Step 6: Final answer
    x = 187,791.92

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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.