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Finding the Fourth Proportional to 306,702.99, 460,060.64 and 82,063.07

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Solution

The fourth proportional to 306,702.99, 460,060.64 and 82,063.07 is: 123,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,702.99 : 460,060.64 = 82,063.07 : x
  2. Step 2: Convert to fraction form
    306,702.99/460,060.64 = 82,063.07/x
  3. Step 3: Cross multiply
    306,702.99x = 460,060.64 × 82,063.07
  4. Step 4: Simplify right side
    306,702.99x = 37,753,985,999.10
  5. Step 5: Solve for x
    x = 37,753,985,999.10/306,702.99
  6. Step 6: Final answer
    x = 123,096.24

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Why These Related Problems?

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