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Finding the Fourth Proportional to 95,292, 142,938 and 65,276.64

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Solution

The fourth proportional to 95,292, 142,938 and 65,276.64 is: 97,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,292 : 142,938 = 65,276.64 : x
  2. Step 2: Convert to fraction form
    95,292/142,938 = 65,276.64/x
  3. Step 3: Cross multiply
    95,292x = 142,938 × 65,276.64
  4. Step 4: Simplify right side
    95,292x = 9,330,512,368.32
  5. Step 5: Solve for x
    x = 9,330,512,368.32/95,292
  6. Step 6: Final answer
    x = 97,914.96

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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.