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Finding the Fourth Proportional to 256,541.58, 353,996.71 and 141,804.73

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Solution

The fourth proportional to 256,541.58, 353,996.71 and 141,804.73 is: 195,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,541.58 : 353,996.71 = 141,804.73 : x
  2. Step 2: Convert to fraction form
    256,541.58/353,996.71 = 141,804.73/x
  3. Step 3: Cross multiply
    256,541.58x = 353,996.71 × 141,804.73
  4. Step 4: Simplify right side
    256,541.58x = 50,198,406,112.45
  5. Step 5: Solve for x
    x = 50,198,406,112.45/256,541.58
  6. Step 6: Final answer
    x = 195,673.57

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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.