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Finding the Fourth Proportional to 276,547.82, 414,907.84 and 99,056.36

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Solution

The fourth proportional to 276,547.82, 414,907.84 and 99,056.36 is: 148,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,547.82 : 414,907.84 = 99,056.36 : x
  2. Step 2: Convert to fraction form
    276,547.82/414,907.84 = 99,056.36/x
  3. Step 3: Cross multiply
    276,547.82x = 414,907.84 × 99,056.36
  4. Step 4: Simplify right side
    276,547.82x = 41,099,260,365.86
  5. Step 5: Solve for x
    x = 41,099,260,365.86/276,547.82
  6. Step 6: Final answer
    x = 148,615.38

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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.