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Finding the Fourth Proportional to 146,907.36, 202,731.60 and 83,257.32

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Solution

The fourth proportional to 146,907.36, 202,731.60 and 83,257.32 is: 114,894.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,907.36 : 202,731.60 = 83,257.32 : x
  2. Step 2: Convert to fraction form
    146,907.36/202,731.60 = 83,257.32/x
  3. Step 3: Cross multiply
    146,907.36x = 202,731.60 × 83,257.32
  4. Step 4: Simplify right side
    146,907.36x = 16,878,889,695.31
  5. Step 5: Solve for x
    x = 16,878,889,695.31/146,907.36
  6. Step 6: Final answer
    x = 114,894.79

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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.