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Finding the Fourth Proportional to 213,065.92, 319,186.76 and 178,460.84

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Solution

The fourth proportional to 213,065.92, 319,186.76 and 178,460.84 is: 267,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,065.92 : 319,186.76 = 178,460.84 : x
  2. Step 2: Convert to fraction form
    213,065.92/319,186.76 = 178,460.84/x
  3. Step 3: Cross multiply
    213,065.92x = 319,186.76 × 178,460.84
  4. Step 4: Simplify right side
    213,065.92x = 56,962,337,212.14
  5. Step 5: Solve for x
    x = 56,962,337,212.14/213,065.92
  6. Step 6: Final answer
    x = 267,346.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.