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Finding the Fourth Proportional to 255,714.30, 352,888.11 and 140,997.06

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Solution

The fourth proportional to 255,714.30, 352,888.11 and 140,997.06 is: 194,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,714.30 : 352,888.11 = 140,997.06 : x
  2. Step 2: Convert to fraction form
    255,714.30/352,888.11 = 140,997.06/x
  3. Step 3: Cross multiply
    255,714.30x = 352,888.11 × 140,997.06
  4. Step 4: Simplify right side
    255,714.30x = 49,756,186,018.96
  5. Step 5: Solve for x
    x = 49,756,186,018.96/255,714.30
  6. Step 6: Final answer
    x = 194,577.25

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1.5x scale

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.