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Finding the Fourth Proportional to 345,377, 518,094.84 and 96,059

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Solution

The fourth proportional to 345,377, 518,094.84 and 96,059 is: 144,096.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,377 : 518,094.84 = 96,059 : x
  2. Step 2: Convert to fraction form
    345,377/518,094.84 = 96,059/x
  3. Step 3: Cross multiply
    345,377x = 518,094.84 × 96,059
  4. Step 4: Simplify right side
    345,377x = 49,767,672,235.56
  5. Step 5: Solve for x
    x = 49,767,672,235.56/345,377
  6. Step 6: Final answer
    x = 144,096.66

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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.