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Finding the Fourth Proportional to 255,704.84, 383,560.52 and 97,942.76

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Solution

The fourth proportional to 255,704.84, 383,560.52 and 97,942.76 is: 146,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,704.84 : 383,560.52 = 97,942.76 : x
  2. Step 2: Convert to fraction form
    255,704.84/383,560.52 = 97,942.76/x
  3. Step 3: Cross multiply
    255,704.84x = 383,560.52 × 97,942.76
  4. Step 4: Simplify right side
    255,704.84x = 37,566,975,955.84
  5. Step 5: Solve for x
    x = 37,566,975,955.84/255,704.84
  6. Step 6: Final answer
    x = 146,915.39

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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.