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Finding the Fourth Proportional to 256,647.60, 385,036.92 and 106,838.08

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Solution

The fourth proportional to 256,647.60, 385,036.92 and 106,838.08 is: 160,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,647.60 : 385,036.92 = 106,838.08 : x
  2. Step 2: Convert to fraction form
    256,647.60/385,036.92 = 106,838.08/x
  3. Step 3: Cross multiply
    256,647.60x = 385,036.92 × 106,838.08
  4. Step 4: Simplify right side
    256,647.60x = 41,136,605,261.91
  5. Step 5: Solve for x
    x = 41,136,605,261.91/256,647.60
  6. Step 6: Final answer
    x = 160,284.39

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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.