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Finding the Fourth Proportional to 135,985.84, 204,168.32 and 69,480

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Solution

The fourth proportional to 135,985.84, 204,168.32 and 69,480 is: 104,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,985.84 : 204,168.32 = 69,480 : x
  2. Step 2: Convert to fraction form
    135,985.84/204,168.32 = 69,480/x
  3. Step 3: Cross multiply
    135,985.84x = 204,168.32 × 69,480
  4. Step 4: Simplify right side
    135,985.84x = 14,185,614,873.60
  5. Step 5: Solve for x
    x = 14,185,614,873.60/135,985.84
  6. Step 6: Final answer
    x = 104,316.85

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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.