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Finding the Fourth Proportional to 213,032.84, 319,306.46 and 133,107.71

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Solution

The fourth proportional to 213,032.84, 319,306.46 and 133,107.71 is: 199,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,032.84 : 319,306.46 = 133,107.71 : x
  2. Step 2: Convert to fraction form
    213,032.84/319,306.46 = 133,107.71/x
  3. Step 3: Cross multiply
    213,032.84x = 319,306.46 × 133,107.71
  4. Step 4: Simplify right side
    213,032.84x = 42,502,149,416.74
  5. Step 5: Solve for x
    x = 42,502,149,416.74/213,032.84
  6. Step 6: Final answer
    x = 199,509.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.