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Finding the Fourth Proportional to 256,898.94, 354,514.86 and 140,611.82

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Solution

The fourth proportional to 256,898.94, 354,514.86 and 140,611.82 is: 194,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,898.94 : 354,514.86 = 140,611.82 : x
  2. Step 2: Convert to fraction form
    256,898.94/354,514.86 = 140,611.82/x
  3. Step 3: Cross multiply
    256,898.94x = 354,514.86 × 140,611.82
  4. Step 4: Simplify right side
    256,898.94x = 49,848,979,681.65
  5. Step 5: Solve for x
    x = 49,848,979,681.65/256,898.94
  6. Step 6: Final answer
    x = 194,041.20

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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.