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Finding the Fourth Proportional to 223,354, 308,228.52 and 122,752

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Solution

The fourth proportional to 223,354, 308,228.52 and 122,752 is: 169,397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,354 : 308,228.52 = 122,752 : x
  2. Step 2: Convert to fraction form
    223,354/308,228.52 = 122,752/x
  3. Step 3: Cross multiply
    223,354x = 308,228.52 × 122,752
  4. Step 4: Simplify right side
    223,354x = 37,835,667,287.04
  5. Step 5: Solve for x
    x = 37,835,667,287.04/223,354
  6. Step 6: Final answer
    x = 169,397.76

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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.