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Finding the Fourth Proportional to 121,838.40, 182,498.40 and 101,102.40

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Solution

The fourth proportional to 121,838.40, 182,498.40 and 101,102.40 is: 151,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,838.40 : 182,498.40 = 101,102.40 : x
  2. Step 2: Convert to fraction form
    121,838.40/182,498.40 = 101,102.40/x
  3. Step 3: Cross multiply
    121,838.40x = 182,498.40 × 101,102.40
  4. Step 4: Simplify right side
    121,838.40x = 18,451,026,236.16
  5. Step 5: Solve for x
    x = 18,451,026,236.16/121,838.40
  6. Step 6: Final answer
    x = 151,438.51

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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.