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Finding the Fourth Proportional to 98,501.98, 147,765.74 and 45,181.10

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Solution

The fourth proportional to 98,501.98, 147,765.74 and 45,181.10 is: 67,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,501.98 : 147,765.74 = 45,181.10 : x
  2. Step 2: Convert to fraction form
    98,501.98/147,765.74 = 45,181.10/x
  3. Step 3: Cross multiply
    98,501.98x = 147,765.74 × 45,181.10
  4. Step 4: Simplify right side
    98,501.98x = 6,676,218,519.05
  5. Step 5: Solve for x
    x = 6,676,218,519.05/98,501.98
  6. Step 6: Final answer
    x = 67,777.50

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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.