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Finding the Fourth Proportional to 116,417, 160,615.14 and 65,422.76

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Solution

The fourth proportional to 116,417, 160,615.14 and 65,422.76 is: 90,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,417 : 160,615.14 = 65,422.76 : x
  2. Step 2: Convert to fraction form
    116,417/160,615.14 = 65,422.76/x
  3. Step 3: Cross multiply
    116,417x = 160,615.14 × 65,422.76
  4. Step 4: Simplify right side
    116,417x = 10,507,885,756.59
  5. Step 5: Solve for x
    x = 10,507,885,756.59/116,417
  6. Step 6: Final answer
    x = 90,260.75

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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.