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Finding the Fourth Proportional to 146,836.30, 202,666.35 and 96,539.98

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Solution

The fourth proportional to 146,836.30, 202,666.35 and 96,539.98 is: 133,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,836.30 : 202,666.35 = 96,539.98 : x
  2. Step 2: Convert to fraction form
    146,836.30/202,666.35 = 96,539.98/x
  3. Step 3: Cross multiply
    146,836.30x = 202,666.35 × 96,539.98
  4. Step 4: Simplify right side
    146,836.30x = 19,565,405,375.67
  5. Step 5: Solve for x
    x = 19,565,405,375.67/146,836.30
  6. Step 6: Final answer
    x = 133,246.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.