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Finding the Fourth Proportional to 223,803, 308,848.14 and 123,201

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Solution

The fourth proportional to 223,803, 308,848.14 and 123,201 is: 170,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,803 : 308,848.14 = 123,201 : x
  2. Step 2: Convert to fraction form
    223,803/308,848.14 = 123,201/x
  3. Step 3: Cross multiply
    223,803x = 308,848.14 × 123,201
  4. Step 4: Simplify right side
    223,803x = 38,050,399,696.14
  5. Step 5: Solve for x
    x = 38,050,399,696.14/223,803
  6. Step 6: Final answer
    x = 170,017.38

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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.