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Finding the Fourth Proportional to 276,359.68, 414,495.52 and 98,833.60

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Solution

The fourth proportional to 276,359.68, 414,495.52 and 98,833.60 is: 148,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,359.68 : 414,495.52 = 98,833.60 : x
  2. Step 2: Convert to fraction form
    276,359.68/414,495.52 = 98,833.60/x
  3. Step 3: Cross multiply
    276,359.68x = 414,495.52 × 98,833.60
  4. Step 4: Simplify right side
    276,359.68x = 40,966,084,425.47
  5. Step 5: Solve for x
    x = 40,966,084,425.47/276,359.68
  6. Step 6: Final answer
    x = 148,234.66

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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.