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Finding the Fourth Proportional to 256,477.16, 353,956.80 and 141,753.34

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Solution

The fourth proportional to 256,477.16, 353,956.80 and 141,753.34 is: 195,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,477.16 : 353,956.80 = 141,753.34 : x
  2. Step 2: Convert to fraction form
    256,477.16/353,956.80 = 141,753.34/x
  3. Step 3: Cross multiply
    256,477.16x = 353,956.80 × 141,753.34
  4. Step 4: Simplify right side
    256,477.16x = 50,174,558,615.71
  5. Step 5: Solve for x
    x = 50,174,558,615.71/256,477.16
  6. Step 6: Final answer
    x = 195,629.73

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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.