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Finding the Fourth Proportional to 256,545.96, 354,031.02 and 141,827.55

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Solution

The fourth proportional to 256,545.96, 354,031.02 and 141,827.55 is: 195,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,545.96 : 354,031.02 = 141,827.55 : x
  2. Step 2: Convert to fraction form
    256,545.96/354,031.02 = 141,827.55/x
  3. Step 3: Cross multiply
    256,545.96x = 354,031.02 × 141,827.55
  4. Step 4: Simplify right side
    256,545.96x = 50,211,352,190.60
  5. Step 5: Solve for x
    x = 50,211,352,190.60/256,545.96
  6. Step 6: Final answer
    x = 195,720.69

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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.