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Finding the Fourth Proportional to 116,015.77, 160,102.07 and 65,714.77

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Solution

The fourth proportional to 116,015.77, 160,102.07 and 65,714.77 is: 90,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,015.77 : 160,102.07 = 65,714.77 : x
  2. Step 2: Convert to fraction form
    116,015.77/160,102.07 = 65,714.77/x
  3. Step 3: Cross multiply
    116,015.77x = 160,102.07 × 65,714.77
  4. Step 4: Simplify right side
    116,015.77x = 10,521,070,378.00
  5. Step 5: Solve for x
    x = 10,521,070,378.00/116,015.77
  6. Step 6: Final answer
    x = 90,686.55

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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.