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Finding the Fourth Proportional to 220,314.94, 304,036.54 and 119,712.94

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Solution

The fourth proportional to 220,314.94, 304,036.54 and 119,712.94 is: 165,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,314.94 : 304,036.54 = 119,712.94 : x
  2. Step 2: Convert to fraction form
    220,314.94/304,036.54 = 119,712.94/x
  3. Step 3: Cross multiply
    220,314.94x = 304,036.54 × 119,712.94
  4. Step 4: Simplify right side
    220,314.94x = 36,397,107,011.45
  5. Step 5: Solve for x
    x = 36,397,107,011.45/220,314.94
  6. Step 6: Final answer
    x = 165,204.90

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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.