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Finding the Fourth Proportional to 276,280.76, 414,808.86 and 141,441.14

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Solution

The fourth proportional to 276,280.76, 414,808.86 and 141,441.14 is: 212,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,280.76 : 414,808.86 = 141,441.14 : x
  2. Step 2: Convert to fraction form
    276,280.76/414,808.86 = 141,441.14/x
  3. Step 3: Cross multiply
    276,280.76x = 414,808.86 × 141,441.14
  4. Step 4: Simplify right side
    276,280.76x = 58,671,038,040.50
  5. Step 5: Solve for x
    x = 58,671,038,040.50/276,280.76
  6. Step 6: Final answer
    x = 212,360.20

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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.