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Finding the Fourth Proportional to 146,972.64, 202,826.52 and 83,308.32

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Solution

The fourth proportional to 146,972.64, 202,826.52 and 83,308.32 is: 114,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,972.64 : 202,826.52 = 83,308.32 : x
  2. Step 2: Convert to fraction form
    146,972.64/202,826.52 = 83,308.32/x
  3. Step 3: Cross multiply
    146,972.64x = 202,826.52 × 83,308.32
  4. Step 4: Simplify right side
    146,972.64x = 16,897,136,632.65
  5. Step 5: Solve for x
    x = 16,897,136,632.65/146,972.64
  6. Step 6: Final answer
    x = 114,967.91

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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.