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Finding the Fourth Proportional to 223,186.96, 308,092.20 and 150,688.07

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Solution

The fourth proportional to 223,186.96, 308,092.20 and 150,688.07 is: 208,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,186.96 : 308,092.20 = 150,688.07 : x
  2. Step 2: Convert to fraction form
    223,186.96/308,092.20 = 150,688.07/x
  3. Step 3: Cross multiply
    223,186.96x = 308,092.20 × 150,688.07
  4. Step 4: Simplify right side
    223,186.96x = 46,425,819,000.05
  5. Step 5: Solve for x
    x = 46,425,819,000.05/223,186.96
  6. Step 6: Final answer
    x = 208,013.13

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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.