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Finding the Fourth Proportional to 147,012.32, 202,923.26 and 83,392.40

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Solution

The fourth proportional to 147,012.32, 202,923.26 and 83,392.40 is: 115,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,012.32 : 202,923.26 = 83,392.40 : x
  2. Step 2: Convert to fraction form
    147,012.32/202,923.26 = 83,392.40/x
  3. Step 3: Cross multiply
    147,012.32x = 202,923.26 × 83,392.40
  4. Step 4: Simplify right side
    147,012.32x = 16,922,256,235.65
  5. Step 5: Solve for x
    x = 16,922,256,235.65/147,012.32
  6. Step 6: Final answer
    x = 115,107.75

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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.