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Finding the Fourth Proportional to 282,050.73, 389,174.49 and 167,307.75

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Solution

The fourth proportional to 282,050.73, 389,174.49 and 167,307.75 is: 230,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,050.73 : 389,174.49 = 167,307.75 : x
  2. Step 2: Convert to fraction form
    282,050.73/389,174.49 = 167,307.75/x
  3. Step 3: Cross multiply
    282,050.73x = 389,174.49 × 167,307.75
  4. Step 4: Simplify right side
    282,050.73x = 65,111,908,279.30
  5. Step 5: Solve for x
    x = 65,111,908,279.30/282,050.73
  6. Step 6: Final answer
    x = 230,851.76

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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.