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Finding the Fourth Proportional to 228,096.80, 342,339.60 and 101,931.20

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Solution

The fourth proportional to 228,096.80, 342,339.60 and 101,931.20 is: 152,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,096.80 : 342,339.60 = 101,931.20 : x
  2. Step 2: Convert to fraction form
    228,096.80/342,339.60 = 101,931.20/x
  3. Step 3: Cross multiply
    228,096.80x = 342,339.60 × 101,931.20
  4. Step 4: Simplify right side
    228,096.80x = 34,895,086,235.52
  5. Step 5: Solve for x
    x = 34,895,086,235.52/228,096.80
  6. Step 6: Final answer
    x = 152,983.67

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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.