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Finding the Fourth Proportional to 214,596.69, 321,901.79 and 102,289.11

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Solution

The fourth proportional to 214,596.69, 321,901.79 and 102,289.11 is: 153,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,596.69 : 321,901.79 = 102,289.11 : x
  2. Step 2: Convert to fraction form
    214,596.69/321,901.79 = 102,289.11/x
  3. Step 3: Cross multiply
    214,596.69x = 321,901.79 × 102,289.11
  4. Step 4: Simplify right side
    214,596.69x = 32,927,047,095.06
  5. Step 5: Solve for x
    x = 32,927,047,095.06/214,596.69
  6. Step 6: Final answer
    x = 153,436.88

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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.