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Finding the Fourth Proportional to 146,810.32, 202,615.24 and 137,802.64

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Solution

The fourth proportional to 146,810.32, 202,615.24 and 137,802.64 is: 190,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,810.32 : 202,615.24 = 137,802.64 : x
  2. Step 2: Convert to fraction form
    146,810.32/202,615.24 = 137,802.64/x
  3. Step 3: Cross multiply
    146,810.32x = 202,615.24 × 137,802.64
  4. Step 4: Simplify right side
    146,810.32x = 27,920,914,976.23
  5. Step 5: Solve for x
    x = 27,920,914,976.23/146,810.32
  6. Step 6: Final answer
    x = 190,183.60

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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.