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Finding the Fourth Proportional to 186,536.26, 257,419.65 and 101,653.12

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Solution

The fourth proportional to 186,536.26, 257,419.65 and 101,653.12 is: 140,281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,536.26 : 257,419.65 = 101,653.12 : x
  2. Step 2: Convert to fraction form
    186,536.26/257,419.65 = 101,653.12/x
  3. Step 3: Cross multiply
    186,536.26x = 257,419.65 × 101,653.12
  4. Step 4: Simplify right side
    186,536.26x = 26,167,510,571.81
  5. Step 5: Solve for x
    x = 26,167,510,571.81/186,536.26
  6. Step 6: Final answer
    x = 140,281.09

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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.