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Finding the Fourth Proportional to 95,310, 142,965 and 65,294.64

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Solution

The fourth proportional to 95,310, 142,965 and 65,294.64 is: 97,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,310 : 142,965 = 65,294.64 : x
  2. Step 2: Convert to fraction form
    95,310/142,965 = 65,294.64/x
  3. Step 3: Cross multiply
    95,310x = 142,965 × 65,294.64
  4. Step 4: Simplify right side
    95,310x = 9,334,848,207.60
  5. Step 5: Solve for x
    x = 9,334,848,207.60/95,310
  6. Step 6: Final answer
    x = 97,941.96

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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.