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Finding the Fourth Proportional to 165,610.98, 248,457.87 and 65,738.16

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Solution

The fourth proportional to 165,610.98, 248,457.87 and 65,738.16 is: 98,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,610.98 : 248,457.87 = 65,738.16 : x
  2. Step 2: Convert to fraction form
    165,610.98/248,457.87 = 65,738.16/x
  3. Step 3: Cross multiply
    165,610.98x = 248,457.87 × 65,738.16
  4. Step 4: Simplify right side
    165,610.98x = 16,333,163,211.32
  5. Step 5: Solve for x
    x = 16,333,163,211.32/165,610.98
  6. Step 6: Final answer
    x = 98,623.67

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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.