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Finding the Fourth Proportional to 228,082.80, 342,318.60 and 101,917.20

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Solution

The fourth proportional to 228,082.80, 342,318.60 and 101,917.20 is: 152,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,082.80 : 342,318.60 = 101,917.20 : x
  2. Step 2: Convert to fraction form
    228,082.80/342,318.60 = 101,917.20/x
  3. Step 3: Cross multiply
    228,082.80x = 342,318.60 × 101,917.20
  4. Step 4: Simplify right side
    228,082.80x = 34,888,153,219.92
  5. Step 5: Solve for x
    x = 34,888,153,219.92/228,082.80
  6. Step 6: Final answer
    x = 152,962.67

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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.