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Finding the Fourth Proportional to 146,888.36, 202,705.44 and 83,238.32

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Solution

The fourth proportional to 146,888.36, 202,705.44 and 83,238.32 is: 114,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,888.36 : 202,705.44 = 83,238.32 : x
  2. Step 2: Convert to fraction form
    146,888.36/202,705.44 = 83,238.32/x
  3. Step 3: Cross multiply
    146,888.36x = 202,705.44 × 83,238.32
  4. Step 4: Simplify right side
    146,888.36x = 16,872,860,280.46
  5. Step 5: Solve for x
    x = 16,872,860,280.46/146,888.36
  6. Step 6: Final answer
    x = 114,868.60

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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.