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Finding the Fourth Proportional to 160,477.98, 221,496.75 and 106,765.26

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Solution

The fourth proportional to 160,477.98, 221,496.75 and 106,765.26 is: 147,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,477.98 : 221,496.75 = 106,765.26 : x
  2. Step 2: Convert to fraction form
    160,477.98/221,496.75 = 106,765.26/x
  3. Step 3: Cross multiply
    160,477.98x = 221,496.75 × 106,765.26
  4. Step 4: Simplify right side
    160,477.98x = 23,648,158,102.91
  5. Step 5: Solve for x
    x = 23,648,158,102.91/160,477.98
  6. Step 6: Final answer
    x = 147,360.77

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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.