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Finding the Fourth Proportional to 109,904.48, 164,730.96 and 43,308

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Solution

The fourth proportional to 109,904.48, 164,730.96 and 43,308 is: 64,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,904.48 : 164,730.96 = 43,308 : x
  2. Step 2: Convert to fraction form
    109,904.48/164,730.96 = 43,308/x
  3. Step 3: Cross multiply
    109,904.48x = 164,730.96 × 43,308
  4. Step 4: Simplify right side
    109,904.48x = 7,134,168,415.68
  5. Step 5: Solve for x
    x = 7,134,168,415.68/109,904.48
  6. Step 6: Final answer
    x = 64,912.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.