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Finding the Fourth Proportional to 98,082.88, 147,271.94 and 56,010.46

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Solution

The fourth proportional to 98,082.88, 147,271.94 and 56,010.46 is: 84,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,082.88 : 147,271.94 = 56,010.46 : x
  2. Step 2: Convert to fraction form
    98,082.88/147,271.94 = 56,010.46/x
  3. Step 3: Cross multiply
    98,082.88x = 147,271.94 × 56,010.46
  4. Step 4: Simplify right side
    98,082.88x = 8,248,769,104.49
  5. Step 5: Solve for x
    x = 8,248,769,104.49/98,082.88
  6. Step 6: Final answer
    x = 84,099.99

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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.