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Finding the Fourth Proportional to 276,082.40, 414,123.60 and 98,595.20

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Solution

The fourth proportional to 276,082.40, 414,123.60 and 98,595.20 is: 147,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,082.40 : 414,123.60 = 98,595.20 : x
  2. Step 2: Convert to fraction form
    276,082.40/414,123.60 = 98,595.20/x
  3. Step 3: Cross multiply
    276,082.40x = 414,123.60 × 98,595.20
  4. Step 4: Simplify right side
    276,082.40x = 40,830,599,166.72
  5. Step 5: Solve for x
    x = 40,830,599,166.72/276,082.40
  6. Step 6: Final answer
    x = 147,892.80

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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.