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Finding the Fourth Proportional to 256,149.48, 353,498.10 and 141,444.30

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Solution

The fourth proportional to 256,149.48, 353,498.10 and 141,444.30 is: 195,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,149.48 : 353,498.10 = 141,444.30 : x
  2. Step 2: Convert to fraction form
    256,149.48/353,498.10 = 141,444.30/x
  3. Step 3: Cross multiply
    256,149.48x = 353,498.10 × 141,444.30
  4. Step 4: Simplify right side
    256,149.48x = 50,000,291,305.83
  5. Step 5: Solve for x
    x = 50,000,291,305.83/256,149.48
  6. Step 6: Final answer
    x = 195,199.66

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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.