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Finding the Fourth Proportional to 210,815.95, 290,728.86 and 167,938

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Solution

The fourth proportional to 210,815.95, 290,728.86 and 167,938 is: 231,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,815.95 : 290,728.86 = 167,938 : x
  2. Step 2: Convert to fraction form
    210,815.95/290,728.86 = 167,938/x
  3. Step 3: Cross multiply
    210,815.95x = 290,728.86 × 167,938
  4. Step 4: Simplify right side
    210,815.95x = 48,824,423,290.68
  5. Step 5: Solve for x
    x = 48,824,423,290.68/210,815.95
  6. Step 6: Final answer
    x = 231,597.39

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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.