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Finding the Fourth Proportional to 146,714.40, 202,466.48 and 83,064.48

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Solution

The fourth proportional to 146,714.40, 202,466.48 and 83,064.48 is: 114,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,714.40 : 202,466.48 = 83,064.48 : x
  2. Step 2: Convert to fraction form
    146,714.40/202,466.48 = 83,064.48/x
  3. Step 3: Cross multiply
    146,714.40x = 202,466.48 × 83,064.48
  4. Step 4: Simplify right side
    146,714.40x = 16,817,772,878.63
  5. Step 5: Solve for x
    x = 16,817,772,878.63/146,714.40
  6. Step 6: Final answer
    x = 114,629.33

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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.