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Finding the Fourth Proportional to 284,950.79, 393,147.41 and 164,088.93

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Solution

The fourth proportional to 284,950.79, 393,147.41 and 164,088.93 is: 226,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,950.79 : 393,147.41 = 164,088.93 : x
  2. Step 2: Convert to fraction form
    284,950.79/393,147.41 = 164,088.93/x
  3. Step 3: Cross multiply
    284,950.79x = 393,147.41 × 164,088.93
  4. Step 4: Simplify right side
    284,950.79x = 64,511,137,018.73
  5. Step 5: Solve for x
    x = 64,511,137,018.73/284,950.79
  6. Step 6: Final answer
    x = 226,393.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.