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Finding the Fourth Proportional to 223,804.40, 308,864.06 and 123,202.40

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Solution

The fourth proportional to 223,804.40, 308,864.06 and 123,202.40 is: 170,027.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,804.40 : 308,864.06 = 123,202.40 : x
  2. Step 2: Convert to fraction form
    223,804.40/308,864.06 = 123,202.40/x
  3. Step 3: Cross multiply
    223,804.40x = 308,864.06 × 123,202.40
  4. Step 4: Simplify right side
    223,804.40x = 38,052,793,465.74
  5. Step 5: Solve for x
    x = 38,052,793,465.74/223,804.40
  6. Step 6: Final answer
    x = 170,027.01

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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.