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Finding the Fourth Proportional to 256,805.34, 384,646.28 and 130,227.45

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Solution

The fourth proportional to 256,805.34, 384,646.28 and 130,227.45 is: 195,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,805.34 : 384,646.28 = 130,227.45 : x
  2. Step 2: Convert to fraction form
    256,805.34/384,646.28 = 130,227.45/x
  3. Step 3: Cross multiply
    256,805.34x = 384,646.28 × 130,227.45
  4. Step 4: Simplify right side
    256,805.34x = 50,091,503,545.25
  5. Step 5: Solve for x
    x = 50,091,503,545.25/256,805.34
  6. Step 6: Final answer
    x = 195,056.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.