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Finding the Fourth Proportional to 107,059.10, 160,524.65 and 65,535.90

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Solution

The fourth proportional to 107,059.10, 160,524.65 and 65,535.90 is: 98,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,059.10 : 160,524.65 = 65,535.90 : x
  2. Step 2: Convert to fraction form
    107,059.10/160,524.65 = 65,535.90/x
  3. Step 3: Cross multiply
    107,059.10x = 160,524.65 × 65,535.90
  4. Step 4: Simplify right side
    107,059.10x = 10,520,127,409.94
  5. Step 5: Solve for x
    x = 10,520,127,409.94/107,059.10
  6. Step 6: Final answer
    x = 98,264.67

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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.