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Finding the Fourth Proportional to 223,569, 308,526.03 and 121,594.46

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Solution

The fourth proportional to 223,569, 308,526.03 and 121,594.46 is: 167,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,569 : 308,526.03 = 121,594.46 : x
  2. Step 2: Convert to fraction form
    223,569/308,526.03 = 121,594.46/x
  3. Step 3: Cross multiply
    223,569x = 308,526.03 × 121,594.46
  4. Step 4: Simplify right side
    223,569x = 37,515,054,471.16
  5. Step 5: Solve for x
    x = 37,515,054,471.16/223,569
  6. Step 6: Final answer
    x = 167,800.79

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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.