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Finding the Fourth Proportional to 256,109.30, 353,421.56 and 141,385.49

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Solution

The fourth proportional to 256,109.30, 353,421.56 and 141,385.49 is: 195,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,109.30 : 353,421.56 = 141,385.49 : x
  2. Step 2: Convert to fraction form
    256,109.30/353,421.56 = 141,385.49/x
  3. Step 3: Cross multiply
    256,109.30x = 353,421.56 × 141,385.49
  4. Step 4: Simplify right side
    256,109.30x = 49,968,679,023.52
  5. Step 5: Solve for x
    x = 49,968,679,023.52/256,109.30
  6. Step 6: Final answer
    x = 195,106.85

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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.