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Finding the Fourth Proportional to 256,601.60, 384,931.20 and 79,107.20

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Solution

The fourth proportional to 256,601.60, 384,931.20 and 79,107.20 is: 118,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,601.60 : 384,931.20 = 79,107.20 : x
  2. Step 2: Convert to fraction form
    256,601.60/384,931.20 = 79,107.20/x
  3. Step 3: Cross multiply
    256,601.60x = 384,931.20 × 79,107.20
  4. Step 4: Simplify right side
    256,601.60x = 30,450,829,424.64
  5. Step 5: Solve for x
    x = 30,450,829,424.64/256,601.60
  6. Step 6: Final answer
    x = 118,669.68

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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.