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Finding the Fourth Proportional to 256,121.40, 384,159.06 and 89,899.32

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Solution

The fourth proportional to 256,121.40, 384,159.06 and 89,899.32 is: 134,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,121.40 : 384,159.06 = 89,899.32 : x
  2. Step 2: Convert to fraction form
    256,121.40/384,159.06 = 89,899.32/x
  3. Step 3: Cross multiply
    256,121.40x = 384,159.06 × 89,899.32
  4. Step 4: Simplify right side
    256,121.40x = 34,535,638,265.84
  5. Step 5: Solve for x
    x = 34,535,638,265.84/256,121.40
  6. Step 6: Final answer
    x = 134,840.89

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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.