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Finding the Fourth Proportional to 256,346.64, 384,603.02 and 123,237.28

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Solution

The fourth proportional to 256,346.64, 384,603.02 and 123,237.28 is: 184,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,346.64 : 384,603.02 = 123,237.28 : x
  2. Step 2: Convert to fraction form
    256,346.64/384,603.02 = 123,237.28/x
  3. Step 3: Cross multiply
    256,346.64x = 384,603.02 × 123,237.28
  4. Step 4: Simplify right side
    256,346.64x = 47,397,430,064.59
  5. Step 5: Solve for x
    x = 47,397,430,064.59/256,346.64
  6. Step 6: Final answer
    x = 184,895.85

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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.