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Finding the Fourth Proportional to 256,541.94, 354,014.82 and 149,094.63

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Solution

The fourth proportional to 256,541.94, 354,014.82 and 149,094.63 is: 205,743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,541.94 : 354,014.82 = 149,094.63 : x
  2. Step 2: Convert to fraction form
    256,541.94/354,014.82 = 149,094.63/x
  3. Step 3: Cross multiply
    256,541.94x = 354,014.82 × 149,094.63
  4. Step 4: Simplify right side
    256,541.94x = 52,781,708,602.42
  5. Step 5: Solve for x
    x = 52,781,708,602.42/256,541.94
  6. Step 6: Final answer
    x = 205,743.00

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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.