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Finding the Fourth Proportional to 223,678.42, 335,673.15 and 144,596.50

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Solution

The fourth proportional to 223,678.42, 335,673.15 and 144,596.50 is: 216,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,678.42 : 335,673.15 = 144,596.50 : x
  2. Step 2: Convert to fraction form
    223,678.42/335,673.15 = 144,596.50/x
  3. Step 3: Cross multiply
    223,678.42x = 335,673.15 × 144,596.50
  4. Step 4: Simplify right side
    223,678.42x = 48,537,162,633.98
  5. Step 5: Solve for x
    x = 48,537,162,633.98/223,678.42
  6. Step 6: Final answer
    x = 216,995.29

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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.