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Finding the Fourth Proportional to 116,188.64, 160,343.51 and 65,204.49

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Solution

The fourth proportional to 116,188.64, 160,343.51 and 65,204.49 is: 89,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,188.64 : 160,343.51 = 65,204.49 : x
  2. Step 2: Convert to fraction form
    116,188.64/160,343.51 = 65,204.49/x
  3. Step 3: Cross multiply
    116,188.64x = 160,343.51 × 65,204.49
  4. Step 4: Simplify right side
    116,188.64x = 10,455,116,631.35
  5. Step 5: Solve for x
    x = 10,455,116,631.35/116,188.64
  6. Step 6: Final answer
    x = 89,983.98

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Why These Related Problems?

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