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Finding the Fourth Proportional to 146,336, 219,223.52 and 86,992

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Solution

The fourth proportional to 146,336, 219,223.52 and 86,992 is: 130,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,336 : 219,223.52 = 86,992 : x
  2. Step 2: Convert to fraction form
    146,336/219,223.52 = 86,992/x
  3. Step 3: Cross multiply
    146,336x = 219,223.52 × 86,992
  4. Step 4: Simplify right side
    146,336x = 19,070,692,451.84
  5. Step 5: Solve for x
    x = 19,070,692,451.84/146,336
  6. Step 6: Final answer
    x = 130,321.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.