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Finding the Fourth Proportional to 229,966.84, 317,354.16 and 129,364.84

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Solution

The fourth proportional to 229,966.84, 317,354.16 and 129,364.84 is: 178,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,966.84 : 317,354.16 = 129,364.84 : x
  2. Step 2: Convert to fraction form
    229,966.84/317,354.16 = 129,364.84/x
  3. Step 3: Cross multiply
    229,966.84x = 317,354.16 × 129,364.84
  4. Step 4: Simplify right side
    229,966.84x = 41,054,470,131.73
  5. Step 5: Solve for x
    x = 41,054,470,131.73/229,966.84
  6. Step 6: Final answer
    x = 178,523.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.