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Finding the Fourth Proportional to 223,835.04, 308,936.76 and 128,406.24

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Solution

The fourth proportional to 223,835.04, 308,936.76 and 128,406.24 is: 177,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,835.04 : 308,936.76 = 128,406.24 : x
  2. Step 2: Convert to fraction form
    223,835.04/308,936.76 = 128,406.24/x
  3. Step 3: Cross multiply
    223,835.04x = 308,936.76 × 128,406.24
  4. Step 4: Simplify right side
    223,835.04x = 39,669,407,749.38
  5. Step 5: Solve for x
    x = 39,669,407,749.38/223,835.04
  6. Step 6: Final answer
    x = 177,226.08

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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.