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Finding the Fourth Proportional to 276,107.02, 414,160.53 and 89,146.06

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Solution

The fourth proportional to 276,107.02, 414,160.53 and 89,146.06 is: 133,719.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,107.02 : 414,160.53 = 89,146.06 : x
  2. Step 2: Convert to fraction form
    276,107.02/414,160.53 = 89,146.06/x
  3. Step 3: Cross multiply
    276,107.02x = 414,160.53 × 89,146.06
  4. Step 4: Simplify right side
    276,107.02x = 36,920,779,457.01
  5. Step 5: Solve for x
    x = 36,920,779,457.01/276,107.02
  6. Step 6: Final answer
    x = 133,719.09

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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.