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Finding the Fourth Proportional to 223,816.47, 308,848.46 and 123,214.47

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Solution

The fourth proportional to 223,816.47, 308,848.46 and 123,214.47 is: 170,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,816.47 : 308,848.46 = 123,214.47 : x
  2. Step 2: Convert to fraction form
    223,816.47/308,848.46 = 123,214.47/x
  3. Step 3: Cross multiply
    223,816.47x = 308,848.46 × 123,214.47
  4. Step 4: Simplify right side
    223,816.47x = 38,054,598,693.14
  5. Step 5: Solve for x
    x = 38,054,598,693.14/223,816.47
  6. Step 6: Final answer
    x = 170,025.91

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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.