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Finding the Fourth Proportional to 103,233.30, 154,965.15 and 96,465.30

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Solution

The fourth proportional to 103,233.30, 154,965.15 and 96,465.30 is: 144,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,233.30 : 154,965.15 = 96,465.30 : x
  2. Step 2: Convert to fraction form
    103,233.30/154,965.15 = 96,465.30/x
  3. Step 3: Cross multiply
    103,233.30x = 154,965.15 × 96,465.30
  4. Step 4: Simplify right side
    103,233.30x = 14,948,759,684.30
  5. Step 5: Solve for x
    x = 14,948,759,684.30/103,233.30
  6. Step 6: Final answer
    x = 144,805.60

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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.