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Finding the Fourth Proportional to 213,122.94, 319,701.72 and 70,963.08

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Solution

The fourth proportional to 213,122.94, 319,701.72 and 70,963.08 is: 106,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,122.94 : 319,701.72 = 70,963.08 : x
  2. Step 2: Convert to fraction form
    213,122.94/319,701.72 = 70,963.08/x
  3. Step 3: Cross multiply
    213,122.94x = 319,701.72 × 70,963.08
  4. Step 4: Simplify right side
    213,122.94x = 22,687,018,732.50
  5. Step 5: Solve for x
    x = 22,687,018,732.50/213,122.94
  6. Step 6: Final answer
    x = 106,450.38

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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.