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Finding the Fourth Proportional to 109,693.40, 164,540.10 and 101,053.40

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Solution

The fourth proportional to 109,693.40, 164,540.10 and 101,053.40 is: 151,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,693.40 : 164,540.10 = 101,053.40 : x
  2. Step 2: Convert to fraction form
    109,693.40/164,540.10 = 101,053.40/x
  3. Step 3: Cross multiply
    109,693.40x = 164,540.10 × 101,053.40
  4. Step 4: Simplify right side
    109,693.40x = 16,627,336,541.34
  5. Step 5: Solve for x
    x = 16,627,336,541.34/109,693.40
  6. Step 6: Final answer
    x = 151,580.10

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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.