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Finding the Fourth Proportional to 146,918.64, 202,752 and 83,254.32

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Solution

The fourth proportional to 146,918.64, 202,752 and 83,254.32 is: 114,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,918.64 : 202,752 = 83,254.32 : x
  2. Step 2: Convert to fraction form
    146,918.64/202,752 = 83,254.32/x
  3. Step 3: Cross multiply
    146,918.64x = 202,752 × 83,254.32
  4. Step 4: Simplify right side
    146,918.64x = 16,879,979,888.64
  5. Step 5: Solve for x
    x = 16,879,979,888.64/146,918.64
  6. Step 6: Final answer
    x = 114,893.39

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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.