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Finding the Fourth Proportional to 276,064.10, 414,096.15 and 98,656.10

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Solution

The fourth proportional to 276,064.10, 414,096.15 and 98,656.10 is: 147,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,064.10 : 414,096.15 = 98,656.10 : x
  2. Step 2: Convert to fraction form
    276,064.10/414,096.15 = 98,656.10/x
  3. Step 3: Cross multiply
    276,064.10x = 414,096.15 × 98,656.10
  4. Step 4: Simplify right side
    276,064.10x = 40,853,111,184.02
  5. Step 5: Solve for x
    x = 40,853,111,184.02/276,064.10
  6. Step 6: Final answer
    x = 147,984.15

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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.