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Finding the Fourth Proportional to 146,826, 202,602.69 and 86,383.35

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Solution

The fourth proportional to 146,826, 202,602.69 and 86,383.35 is: 119,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,826 : 202,602.69 = 86,383.35 : x
  2. Step 2: Convert to fraction form
    146,826/202,602.69 = 86,383.35/x
  3. Step 3: Cross multiply
    146,826x = 202,602.69 × 86,383.35
  4. Step 4: Simplify right side
    146,826x = 17,501,499,081.21
  5. Step 5: Solve for x
    x = 17,501,499,081.21/146,826
  6. Step 6: Final answer
    x = 119,198.91

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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.