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Finding the Fourth Proportional to 146,464.95, 202,118.96 and 82,802.77

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Solution

The fourth proportional to 146,464.95, 202,118.96 and 82,802.77 is: 114,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,464.95 : 202,118.96 = 82,802.77 : x
  2. Step 2: Convert to fraction form
    146,464.95/202,118.96 = 82,802.77/x
  3. Step 3: Cross multiply
    146,464.95x = 202,118.96 × 82,802.77
  4. Step 4: Simplify right side
    146,464.95x = 16,736,009,459.23
  5. Step 5: Solve for x
    x = 16,736,009,459.23/146,464.95
  6. Step 6: Final answer
    x = 114,266.31

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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.