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Finding the Fourth Proportional to 256,756.77, 384,814.35 and 123,601.41

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Solution

The fourth proportional to 256,756.77, 384,814.35 and 123,601.41 is: 185,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,756.77 : 384,814.35 = 123,601.41 : x
  2. Step 2: Convert to fraction form
    256,756.77/384,814.35 = 123,601.41/x
  3. Step 3: Cross multiply
    256,756.77x = 384,814.35 × 123,601.41
  4. Step 4: Simplify right side
    256,756.77x = 47,563,596,248.23
  5. Step 5: Solve for x
    x = 47,563,596,248.23/256,756.77
  6. Step 6: Final answer
    x = 185,247.68

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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.