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Finding the Fourth Proportional to 229,836.68, 317,018.70 and 149,120

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Solution

The fourth proportional to 229,836.68, 317,018.70 and 149,120 is: 205,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,836.68 : 317,018.70 = 149,120 : x
  2. Step 2: Convert to fraction form
    229,836.68/317,018.70 = 149,120/x
  3. Step 3: Cross multiply
    229,836.68x = 317,018.70 × 149,120
  4. Step 4: Simplify right side
    229,836.68x = 47,273,828,544
  5. Step 5: Solve for x
    x = 47,273,828,544/229,836.68
  6. Step 6: Final answer
    x = 205,684.44

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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.