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Finding the Fourth Proportional to 333,077.76, 459,658.26 and 182,174.76

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Solution

The fourth proportional to 333,077.76, 459,658.26 and 182,174.76 is: 251,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,077.76 : 459,658.26 = 182,174.76 : x
  2. Step 2: Convert to fraction form
    333,077.76/459,658.26 = 182,174.76/x
  3. Step 3: Cross multiply
    333,077.76x = 459,658.26 × 182,174.76
  4. Step 4: Simplify right side
    333,077.76x = 83,738,133,197.52
  5. Step 5: Solve for x
    x = 83,738,133,197.52/333,077.76
  6. Step 6: Final answer
    x = 251,407.16

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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.