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Finding the Fourth Proportional to 176,131, 264,141.04 and 57,774.84

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Solution

The fourth proportional to 176,131, 264,141.04 and 57,774.84 is: 86,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,131 : 264,141.04 = 57,774.84 : x
  2. Step 2: Convert to fraction form
    176,131/264,141.04 = 57,774.84/x
  3. Step 3: Cross multiply
    176,131x = 264,141.04 × 57,774.84
  4. Step 4: Simplify right side
    176,131x = 15,260,706,323.43
  5. Step 5: Solve for x
    x = 15,260,706,323.43/176,131
  6. Step 6: Final answer
    x = 86,644.07

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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.