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Finding the Fourth Proportional to 116,461.33, 160,696.57 and 65,466.99

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Solution

The fourth proportional to 116,461.33, 160,696.57 and 65,466.99 is: 90,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,461.33 : 160,696.57 = 65,466.99 : x
  2. Step 2: Convert to fraction form
    116,461.33/160,696.57 = 65,466.99/x
  3. Step 3: Cross multiply
    116,461.33x = 160,696.57 × 65,466.99
  4. Step 4: Simplify right side
    116,461.33x = 10,520,320,741.22
  5. Step 5: Solve for x
    x = 10,520,320,741.22/116,461.33
  6. Step 6: Final answer
    x = 90,333.17

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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.