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Finding the Fourth Proportional to 276,051.30, 414,076.95 and 98,564.10

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Solution

The fourth proportional to 276,051.30, 414,076.95 and 98,564.10 is: 147,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,051.30 : 414,076.95 = 98,564.10 : x
  2. Step 2: Convert to fraction form
    276,051.30/414,076.95 = 98,564.10/x
  3. Step 3: Cross multiply
    276,051.30x = 414,076.95 × 98,564.10
  4. Step 4: Simplify right side
    276,051.30x = 40,813,121,907.50
  5. Step 5: Solve for x
    x = 40,813,121,907.50/276,051.30
  6. Step 6: Final answer
    x = 147,846.15

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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.