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Finding the Fourth Proportional to 146,636, 202,355.52 and 86,213.44

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Solution

The fourth proportional to 146,636, 202,355.52 and 86,213.44 is: 118,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,636 : 202,355.52 = 86,213.44 : x
  2. Step 2: Convert to fraction form
    146,636/202,355.52 = 86,213.44/x
  3. Step 3: Cross multiply
    146,636x = 202,355.52 × 86,213.44
  4. Step 4: Simplify right side
    146,636x = 17,445,765,482.19
  5. Step 5: Solve for x
    x = 17,445,765,482.19/146,636
  6. Step 6: Final answer
    x = 118,973.28

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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.