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Finding the Fourth Proportional to 165,978.80, 229,029.12 and 94,357.28

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Solution

The fourth proportional to 165,978.80, 229,029.12 and 94,357.28 is: 130,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,978.80 : 229,029.12 = 94,357.28 : x
  2. Step 2: Convert to fraction form
    165,978.80/229,029.12 = 94,357.28/x
  3. Step 3: Cross multiply
    165,978.80x = 229,029.12 × 94,357.28
  4. Step 4: Simplify right side
    165,978.80x = 21,610,564,803.99
  5. Step 5: Solve for x
    x = 21,610,564,803.99/165,978.80
  6. Step 6: Final answer
    x = 130,200.75

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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.