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Finding the Fourth Proportional to 276,495.80, 414,743.70 and 99,008.60

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Solution

The fourth proportional to 276,495.80, 414,743.70 and 99,008.60 is: 148,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,495.80 : 414,743.70 = 99,008.60 : x
  2. Step 2: Convert to fraction form
    276,495.80/414,743.70 = 99,008.60/x
  3. Step 3: Cross multiply
    276,495.80x = 414,743.70 × 99,008.60
  4. Step 4: Simplify right side
    276,495.80x = 41,063,193,095.82
  5. Step 5: Solve for x
    x = 41,063,193,095.82/276,495.80
  6. Step 6: Final answer
    x = 148,512.90

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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.