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Finding the Fourth Proportional to 256,116.94, 353,416.10 and 141,388.13

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Solution

The fourth proportional to 256,116.94, 353,416.10 and 141,388.13 is: 195,101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,116.94 : 353,416.10 = 141,388.13 : x
  2. Step 2: Convert to fraction form
    256,116.94/353,416.10 = 141,388.13/x
  3. Step 3: Cross multiply
    256,116.94x = 353,416.10 × 141,388.13
  4. Step 4: Simplify right side
    256,116.94x = 49,968,841,667.49
  5. Step 5: Solve for x
    x = 49,968,841,667.49/256,116.94
  6. Step 6: Final answer
    x = 195,101.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.