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Finding the Fourth Proportional to 103,233.80, 154,965.90 and 96,465.80

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Solution

The fourth proportional to 103,233.80, 154,965.90 and 96,465.80 is: 144,806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,233.80 : 154,965.90 = 96,465.80 : x
  2. Step 2: Convert to fraction form
    103,233.80/154,965.90 = 96,465.80/x
  3. Step 3: Cross multiply
    103,233.80x = 154,965.90 × 96,465.80
  4. Step 4: Simplify right side
    103,233.80x = 14,948,909,516.22
  5. Step 5: Solve for x
    x = 14,948,909,516.22/103,233.80
  6. Step 6: Final answer
    x = 144,806.35

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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.