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Finding the Fourth Proportional to 255,137.64, 382,515.82 and 176,026.12

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Solution

The fourth proportional to 255,137.64, 382,515.82 and 176,026.12 is: 263,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,137.64 : 382,515.82 = 176,026.12 : x
  2. Step 2: Convert to fraction form
    255,137.64/382,515.82 = 176,026.12/x
  3. Step 3: Cross multiply
    255,137.64x = 382,515.82 × 176,026.12
  4. Step 4: Simplify right side
    255,137.64x = 67,332,775,633.22
  5. Step 5: Solve for x
    x = 67,332,775,633.22/255,137.64
  6. Step 6: Final answer
    x = 263,907.65

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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.