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Finding the Fourth Proportional to 255,424.19, 352,513.06 and 140,714.58

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Solution

The fourth proportional to 255,424.19, 352,513.06 and 140,714.58 is: 194,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,424.19 : 352,513.06 = 140,714.58 : x
  2. Step 2: Convert to fraction form
    255,424.19/352,513.06 = 140,714.58/x
  3. Step 3: Cross multiply
    255,424.19x = 352,513.06 × 140,714.58
  4. Step 4: Simplify right side
    255,424.19x = 49,603,728,152.55
  5. Step 5: Solve for x
    x = 49,603,728,152.55/255,424.19
  6. Step 6: Final answer
    x = 194,201.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.