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Finding the Fourth Proportional to 256,369.36, 353,796.84 and 141,655.40

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Solution

The fourth proportional to 256,369.36, 353,796.84 and 141,655.40 is: 195,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,369.36 : 353,796.84 = 141,655.40 : x
  2. Step 2: Convert to fraction form
    256,369.36/353,796.84 = 141,655.40/x
  3. Step 3: Cross multiply
    256,369.36x = 353,796.84 × 141,655.40
  4. Step 4: Simplify right side
    256,369.36x = 50,117,232,888.94
  5. Step 5: Solve for x
    x = 50,117,232,888.94/256,369.36
  6. Step 6: Final answer
    x = 195,488.39

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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.