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Finding the Fourth Proportional to 164,089.78, 246,134.70 and 53,281.78

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Solution

The fourth proportional to 164,089.78, 246,134.70 and 53,281.78 is: 79,922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,089.78 : 246,134.70 = 53,281.78 : x
  2. Step 2: Convert to fraction form
    164,089.78/246,134.70 = 53,281.78/x
  3. Step 3: Cross multiply
    164,089.78x = 246,134.70 × 53,281.78
  4. Step 4: Simplify right side
    164,089.78x = 13,114,494,935.77
  5. Step 5: Solve for x
    x = 13,114,494,935.77/164,089.78
  6. Step 6: Final answer
    x = 79,922.68

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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.