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Finding the Fourth Proportional to 276,533.68, 414,936.04 and 99,054.40

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Solution

The fourth proportional to 276,533.68, 414,936.04 and 99,054.40 is: 148,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,533.68 : 414,936.04 = 99,054.40 : x
  2. Step 2: Convert to fraction form
    276,533.68/414,936.04 = 99,054.40/x
  3. Step 3: Cross multiply
    276,533.68x = 414,936.04 × 99,054.40
  4. Step 4: Simplify right side
    276,533.68x = 41,101,240,480.58
  5. Step 5: Solve for x
    x = 41,101,240,480.58/276,533.68
  6. Step 6: Final answer
    x = 148,630.14

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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.