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Finding the Fourth Proportional to 170,409.30, 235,182.33 and 102,448.41

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Solution

The fourth proportional to 170,409.30, 235,182.33 and 102,448.41 is: 141,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,409.30 : 235,182.33 = 102,448.41 : x
  2. Step 2: Convert to fraction form
    170,409.30/235,182.33 = 102,448.41/x
  3. Step 3: Cross multiply
    170,409.30x = 235,182.33 × 102,448.41
  4. Step 4: Simplify right side
    170,409.30x = 24,094,055,768.60
  5. Step 5: Solve for x
    x = 24,094,055,768.60/170,409.30
  6. Step 6: Final answer
    x = 141,389.32

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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.