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Finding the Fourth Proportional to 165,803.52, 228,797.76 and 97,816.96

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Solution

The fourth proportional to 165,803.52, 228,797.76 and 97,816.96 is: 134,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,803.52 : 228,797.76 = 97,816.96 : x
  2. Step 2: Convert to fraction form
    165,803.52/228,797.76 = 97,816.96/x
  3. Step 3: Cross multiply
    165,803.52x = 228,797.76 × 97,816.96
  4. Step 4: Simplify right side
    165,803.52x = 22,380,301,338.01
  5. Step 5: Solve for x
    x = 22,380,301,338.01/165,803.52
  6. Step 6: Final answer
    x = 134,980.86

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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.