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Finding the Fourth Proportional to 255,229.98, 382,733.94 and 77,695.41

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Solution

The fourth proportional to 255,229.98, 382,733.94 and 77,695.41 is: 116,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,229.98 : 382,733.94 = 77,695.41 : x
  2. Step 2: Convert to fraction form
    255,229.98/382,733.94 = 77,695.41/x
  3. Step 3: Cross multiply
    255,229.98x = 382,733.94 × 77,695.41
  4. Step 4: Simplify right side
    255,229.98x = 29,736,670,389.22
  5. Step 5: Solve for x
    x = 29,736,670,389.22/255,229.98
  6. Step 6: Final answer
    x = 116,509.32

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Why These Related Problems?

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