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Finding the Fourth Proportional to 170,708.49, 235,672.07 and 102,742.14

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Solution

The fourth proportional to 170,708.49, 235,672.07 and 102,742.14 is: 141,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,708.49 : 235,672.07 = 102,742.14 : x
  2. Step 2: Convert to fraction form
    170,708.49/235,672.07 = 102,742.14/x
  3. Step 3: Cross multiply
    170,708.49x = 235,672.07 × 102,742.14
  4. Step 4: Simplify right side
    170,708.49x = 24,213,452,810.03
  5. Step 5: Solve for x
    x = 24,213,452,810.03/170,708.49
  6. Step 6: Final answer
    x = 141,840.94

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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.