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Finding the Fourth Proportional to 276,536.68, 414,940.54 and 99,057.40

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Solution

The fourth proportional to 276,536.68, 414,940.54 and 99,057.40 is: 148,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,536.68 : 414,940.54 = 99,057.40 : x
  2. Step 2: Convert to fraction form
    276,536.68/414,940.54 = 99,057.40/x
  3. Step 3: Cross multiply
    276,536.68x = 414,940.54 × 99,057.40
  4. Step 4: Simplify right side
    276,536.68x = 41,102,931,047.00
  5. Step 5: Solve for x
    x = 41,102,931,047.00/276,536.68
  6. Step 6: Final answer
    x = 148,634.64

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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.