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Finding the Fourth Proportional to 223,562, 308,359.32 and 147,056.96

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Solution

The fourth proportional to 223,562, 308,359.32 and 147,056.96 is: 202,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,562 : 308,359.32 = 147,056.96 : x
  2. Step 2: Convert to fraction form
    223,562/308,359.32 = 147,056.96/x
  3. Step 3: Cross multiply
    223,562x = 308,359.32 × 147,056.96
  4. Step 4: Simplify right side
    223,562x = 45,346,384,186.87
  5. Step 5: Solve for x
    x = 45,346,384,186.87/223,562
  6. Step 6: Final answer
    x = 202,835.83

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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.