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Finding the Fourth Proportional to 289,096.20, 433,644.30 and 78,733.80

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Solution

The fourth proportional to 289,096.20, 433,644.30 and 78,733.80 is: 118,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,096.20 : 433,644.30 = 78,733.80 : x
  2. Step 2: Convert to fraction form
    289,096.20/433,644.30 = 78,733.80/x
  3. Step 3: Cross multiply
    289,096.20x = 433,644.30 × 78,733.80
  4. Step 4: Simplify right side
    289,096.20x = 34,142,463,587.34
  5. Step 5: Solve for x
    x = 34,142,463,587.34/289,096.20
  6. Step 6: Final answer
    x = 118,100.70

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1.5x scale

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.