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Finding the Fourth Proportional to 146,038.53, 201,535.85 and 85,652.73

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Solution

The fourth proportional to 146,038.53, 201,535.85 and 85,652.73 is: 118,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,038.53 : 201,535.85 = 85,652.73 : x
  2. Step 2: Convert to fraction form
    146,038.53/201,535.85 = 85,652.73/x
  3. Step 3: Cross multiply
    146,038.53x = 201,535.85 × 85,652.73
  4. Step 4: Simplify right side
    146,038.53x = 17,262,095,317.11
  5. Step 5: Solve for x
    x = 17,262,095,317.11/146,038.53
  6. Step 6: Final answer
    x = 118,202.34

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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.