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Finding the Fourth Proportional to 256,124.40, 384,301.80 and 115,810.80

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Solution

The fourth proportional to 256,124.40, 384,301.80 and 115,810.80 is: 173,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,124.40 : 384,301.80 = 115,810.80 : x
  2. Step 2: Convert to fraction form
    256,124.40/384,301.80 = 115,810.80/x
  3. Step 3: Cross multiply
    256,124.40x = 384,301.80 × 115,810.80
  4. Step 4: Simplify right side
    256,124.40x = 44,506,298,899.44
  5. Step 5: Solve for x
    x = 44,506,298,899.44/256,124.40
  6. Step 6: Final answer
    x = 173,768.29

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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.