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Finding the Fourth Proportional to 256,284.05, 353,664.78 and 141,560.41

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Solution

The fourth proportional to 256,284.05, 353,664.78 and 141,560.41 is: 195,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,284.05 : 353,664.78 = 141,560.41 : x
  2. Step 2: Convert to fraction form
    256,284.05/353,664.78 = 141,560.41/x
  3. Step 3: Cross multiply
    256,284.05x = 353,664.78 × 141,560.41
  4. Step 4: Simplify right side
    256,284.05x = 50,064,931,303.75
  5. Step 5: Solve for x
    x = 50,064,931,303.75/256,284.05
  6. Step 6: Final answer
    x = 195,349.38

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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.