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Finding the Fourth Proportional to 105,100.40, 157,650.60 and 96,498.80

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Solution

The fourth proportional to 105,100.40, 157,650.60 and 96,498.80 is: 144,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,100.40 : 157,650.60 = 96,498.80 : x
  2. Step 2: Convert to fraction form
    105,100.40/157,650.60 = 96,498.80/x
  3. Step 3: Cross multiply
    105,100.40x = 157,650.60 × 96,498.80
  4. Step 4: Simplify right side
    105,100.40x = 15,213,093,719.28
  5. Step 5: Solve for x
    x = 15,213,093,719.28/105,100.40
  6. Step 6: Final answer
    x = 144,748.20

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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.