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Finding the Fourth Proportional to 295,148.27, 407,302.71 and 167,823.85

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Solution

The fourth proportional to 295,148.27, 407,302.71 and 167,823.85 is: 231,595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,148.27 : 407,302.71 = 167,823.85 : x
  2. Step 2: Convert to fraction form
    295,148.27/407,302.71 = 167,823.85/x
  3. Step 3: Cross multiply
    295,148.27x = 407,302.71 × 167,823.85
  4. Step 4: Simplify right side
    295,148.27x = 68,355,108,907.63
  5. Step 5: Solve for x
    x = 68,355,108,907.63/295,148.27
  6. Step 6: Final answer
    x = 231,595.83

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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.