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Finding the Fourth Proportional to 255,661.32, 383,491.98 and 78,168.33

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Solution

The fourth proportional to 255,661.32, 383,491.98 and 78,168.33 is: 117,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,661.32 : 383,491.98 = 78,168.33 : x
  2. Step 2: Convert to fraction form
    255,661.32/383,491.98 = 78,168.33/x
  3. Step 3: Cross multiply
    255,661.32x = 383,491.98 × 78,168.33
  4. Step 4: Simplify right side
    255,661.32x = 29,976,927,644.99
  5. Step 5: Solve for x
    x = 29,976,927,644.99/255,661.32
  6. Step 6: Final answer
    x = 117,252.50

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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.