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Finding the Fourth Proportional to 116,402.64, 174,307.48 and 76,839

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Solution

The fourth proportional to 116,402.64, 174,307.48 and 76,839 is: 115,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,402.64 : 174,307.48 = 76,839 : x
  2. Step 2: Convert to fraction form
    116,402.64/174,307.48 = 76,839/x
  3. Step 3: Cross multiply
    116,402.64x = 174,307.48 × 76,839
  4. Step 4: Simplify right side
    116,402.64x = 13,393,612,455.72
  5. Step 5: Solve for x
    x = 13,393,612,455.72/116,402.64
  6. Step 6: Final answer
    x = 115,062.79

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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.