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Finding the Fourth Proportional to 229,700.94, 317,005 and 137,823.65

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Solution

The fourth proportional to 229,700.94, 317,005 and 137,823.65 is: 190,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,700.94 : 317,005 = 137,823.65 : x
  2. Step 2: Convert to fraction form
    229,700.94/317,005 = 137,823.65/x
  3. Step 3: Cross multiply
    229,700.94x = 317,005 × 137,823.65
  4. Step 4: Simplify right side
    229,700.94x = 43,690,786,168.25
  5. Step 5: Solve for x
    x = 43,690,786,168.25/229,700.94
  6. Step 6: Final answer
    x = 190,207.26

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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.