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Finding the Fourth Proportional to 208,063.20, 312,094.80 and 194,941.20

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Solution

The fourth proportional to 208,063.20, 312,094.80 and 194,941.20 is: 292,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,063.20 : 312,094.80 = 194,941.20 : x
  2. Step 2: Convert to fraction form
    208,063.20/312,094.80 = 194,941.20/x
  3. Step 3: Cross multiply
    208,063.20x = 312,094.80 × 194,941.20
  4. Step 4: Simplify right side
    208,063.20x = 60,840,134,825.76
  5. Step 5: Solve for x
    x = 60,840,134,825.76/208,063.20
  6. Step 6: Final answer
    x = 292,411.80

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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.