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Finding the Fourth Proportional to 276,535.68, 414,939.04 and 99,056.40

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Solution

The fourth proportional to 276,535.68, 414,939.04 and 99,056.40 is: 148,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,535.68 : 414,939.04 = 99,056.40 : x
  2. Step 2: Convert to fraction form
    276,535.68/414,939.04 = 99,056.40/x
  3. Step 3: Cross multiply
    276,535.68x = 414,939.04 × 99,056.40
  4. Step 4: Simplify right side
    276,535.68x = 41,102,367,521.86
  5. Step 5: Solve for x
    x = 41,102,367,521.86/276,535.68
  6. Step 6: Final answer
    x = 148,633.14

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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.