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Finding the Fourth Proportional to 176,245.86, 264,312.81 and 57,889.65

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Solution

The fourth proportional to 176,245.86, 264,312.81 and 57,889.65 is: 86,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,245.86 : 264,312.81 = 57,889.65 : x
  2. Step 2: Convert to fraction form
    176,245.86/264,312.81 = 57,889.65/x
  3. Step 3: Cross multiply
    176,245.86x = 264,312.81 × 57,889.65
  4. Step 4: Simplify right side
    176,245.86x = 15,300,976,061.42
  5. Step 5: Solve for x
    x = 15,300,976,061.42/176,245.86
  6. Step 6: Final answer
    x = 86,816.09

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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.