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Finding the Fourth Proportional to 314,162.88, 433,552.23 and 178,206

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Solution

The fourth proportional to 314,162.88, 433,552.23 and 178,206 is: 245,928.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,162.88 : 433,552.23 = 178,206 : x
  2. Step 2: Convert to fraction form
    314,162.88/433,552.23 = 178,206/x
  3. Step 3: Cross multiply
    314,162.88x = 433,552.23 × 178,206
  4. Step 4: Simplify right side
    314,162.88x = 77,261,608,699.38
  5. Step 5: Solve for x
    x = 77,261,608,699.38/314,162.88
  6. Step 6: Final answer
    x = 245,928.51

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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.