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Finding the Fourth Proportional to 68,159, 102,259.34 and 34,902.60

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Solution

The fourth proportional to 68,159, 102,259.34 and 34,902.60 is: 52,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,159 : 102,259.34 = 34,902.60 : x
  2. Step 2: Convert to fraction form
    68,159/102,259.34 = 34,902.60/x
  3. Step 3: Cross multiply
    68,159x = 102,259.34 × 34,902.60
  4. Step 4: Simplify right side
    68,159x = 3,569,116,840.28
  5. Step 5: Solve for x
    x = 3,569,116,840.28/68,159
  6. Step 6: Final answer
    x = 52,364.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.