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Finding the Fourth Proportional to 256,905.60, 385,339.20 and 107,107.20

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Solution

The fourth proportional to 256,905.60, 385,339.20 and 107,107.20 is: 160,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,905.60 : 385,339.20 = 107,107.20 : x
  2. Step 2: Convert to fraction form
    256,905.60/385,339.20 = 107,107.20/x
  3. Step 3: Cross multiply
    256,905.60x = 385,339.20 × 107,107.20
  4. Step 4: Simplify right side
    256,905.60x = 41,272,602,762.24
  5. Step 5: Solve for x
    x = 41,272,602,762.24/256,905.60
  6. Step 6: Final answer
    x = 160,652.80

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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.