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Finding the Fourth Proportional to 261,683.88, 361,122.72 and 146,946.56

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Solution

The fourth proportional to 261,683.88, 361,122.72 and 146,946.56 is: 202,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,683.88 : 361,122.72 = 146,946.56 : x
  2. Step 2: Convert to fraction form
    261,683.88/361,122.72 = 146,946.56/x
  3. Step 3: Cross multiply
    261,683.88x = 361,122.72 × 146,946.56
  4. Step 4: Simplify right side
    261,683.88x = 53,065,741,441.84
  5. Step 5: Solve for x
    x = 53,065,741,441.84/261,683.88
  6. Step 6: Final answer
    x = 202,785.67

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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.