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Finding the Fourth Proportional to 255,714.66, 352,890.93 and 142,525.26

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Solution

The fourth proportional to 255,714.66, 352,890.93 and 142,525.26 is: 196,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,714.66 : 352,890.93 = 142,525.26 : x
  2. Step 2: Convert to fraction form
    255,714.66/352,890.93 = 142,525.26/x
  3. Step 3: Cross multiply
    255,714.66x = 352,890.93 × 142,525.26
  4. Step 4: Simplify right side
    255,714.66x = 50,295,871,549.89
  5. Step 5: Solve for x
    x = 50,295,871,549.89/255,714.66
  6. Step 6: Final answer
    x = 196,687.48

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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.