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Finding the Fourth Proportional to 170,562.98, 235,393.02 and 97,976

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Solution

The fourth proportional to 170,562.98, 235,393.02 and 97,976 is: 135,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,562.98 : 235,393.02 = 97,976 : x
  2. Step 2: Convert to fraction form
    170,562.98/235,393.02 = 97,976/x
  3. Step 3: Cross multiply
    170,562.98x = 235,393.02 × 97,976
  4. Step 4: Simplify right side
    170,562.98x = 23,062,866,527.52
  5. Step 5: Solve for x
    x = 23,062,866,527.52/170,562.98
  6. Step 6: Final answer
    x = 135,216.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.