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Finding the Fourth Proportional to 256,514.32, 353,989.20 and 143,337.07

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Solution

The fourth proportional to 256,514.32, 353,989.20 and 143,337.07 is: 197,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,514.32 : 353,989.20 = 143,337.07 : x
  2. Step 2: Convert to fraction form
    256,514.32/353,989.20 = 143,337.07/x
  3. Step 3: Cross multiply
    256,514.32x = 353,989.20 × 143,337.07
  4. Step 4: Simplify right side
    256,514.32x = 50,739,774,739.64
  5. Step 5: Solve for x
    x = 50,739,774,739.64/256,514.32
  6. Step 6: Final answer
    x = 197,804.84

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