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Finding the Fourth Proportional to 98,765.92, 136,295.98 and 53,442.90

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Solution

The fourth proportional to 98,765.92, 136,295.98 and 53,442.90 is: 73,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,765.92 : 136,295.98 = 53,442.90 : x
  2. Step 2: Convert to fraction form
    98,765.92/136,295.98 = 53,442.90/x
  3. Step 3: Cross multiply
    98,765.92x = 136,295.98 × 53,442.90
  4. Step 4: Simplify right side
    98,765.92x = 7,284,052,429.54
  5. Step 5: Solve for x
    x = 7,284,052,429.54/98,765.92
  6. Step 6: Final answer
    x = 73,750.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.