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Finding the Fourth Proportional to 153,206.21, 229,809.39 and 48,033.38

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Solution

The fourth proportional to 153,206.21, 229,809.39 and 48,033.38 is: 72,050.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,206.21 : 229,809.39 = 48,033.38 : x
  2. Step 2: Convert to fraction form
    153,206.21/229,809.39 = 48,033.38/x
  3. Step 3: Cross multiply
    153,206.21x = 229,809.39 × 48,033.38
  4. Step 4: Simplify right side
    153,206.21x = 11,038,521,517.27
  5. Step 5: Solve for x
    x = 11,038,521,517.27/153,206.21
  6. Step 6: Final answer
    x = 72,050.09

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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.