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Finding the Fourth Proportional to 170,709.49, 235,673.45 and 102,743.14

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Solution

The fourth proportional to 170,709.49, 235,673.45 and 102,743.14 is: 141,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,709.49 : 235,673.45 = 102,743.14 : x
  2. Step 2: Convert to fraction form
    170,709.49/235,673.45 = 102,743.14/x
  3. Step 3: Cross multiply
    170,709.49x = 235,673.45 × 102,743.14
  4. Step 4: Simplify right side
    170,709.49x = 24,213,830,267.63
  5. Step 5: Solve for x
    x = 24,213,830,267.63/170,709.49
  6. Step 6: Final answer
    x = 141,842.32

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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.