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Finding the Fourth Proportional to 256,289.78, 353,678.48 and 141,576.30

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Solution

The fourth proportional to 256,289.78, 353,678.48 and 141,576.30 is: 195,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,289.78 : 353,678.48 = 141,576.30 : x
  2. Step 2: Convert to fraction form
    256,289.78/353,678.48 = 141,576.30/x
  3. Step 3: Cross multiply
    256,289.78x = 353,678.48 × 141,576.30
  4. Step 4: Simplify right side
    256,289.78x = 50,072,490,588.02
  5. Step 5: Solve for x
    x = 50,072,490,588.02/256,289.78
  6. Step 6: Final answer
    x = 195,374.51

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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.