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Finding the Fourth Proportional to 116,116.90, 160,253.85 and 65,810.50

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Solution

The fourth proportional to 116,116.90, 160,253.85 and 65,810.50 is: 90,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,116.90 : 160,253.85 = 65,810.50 : x
  2. Step 2: Convert to fraction form
    116,116.90/160,253.85 = 65,810.50/x
  3. Step 3: Cross multiply
    116,116.90x = 160,253.85 × 65,810.50
  4. Step 4: Simplify right side
    116,116.90x = 10,546,385,995.43
  5. Step 5: Solve for x
    x = 10,546,385,995.43/116,116.90
  6. Step 6: Final answer
    x = 90,825.59

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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.