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Finding the Fourth Proportional to 146,506.32, 202,154.76 and 96,267.60

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Solution

The fourth proportional to 146,506.32, 202,154.76 and 96,267.60 is: 132,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,506.32 : 202,154.76 = 96,267.60 : x
  2. Step 2: Convert to fraction form
    146,506.32/202,154.76 = 96,267.60/x
  3. Step 3: Cross multiply
    146,506.32x = 202,154.76 × 96,267.60
  4. Step 4: Simplify right side
    146,506.32x = 19,460,953,573.78
  5. Step 5: Solve for x
    x = 19,460,953,573.78/146,506.32
  6. Step 6: Final answer
    x = 132,833.54

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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.