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Finding the Fourth Proportional to 289,716.40, 434,617.80 and 102,713.20

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Solution

The fourth proportional to 289,716.40, 434,617.80 and 102,713.20 is: 154,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,716.40 : 434,617.80 = 102,713.20 : x
  2. Step 2: Convert to fraction form
    289,716.40/434,617.80 = 102,713.20/x
  3. Step 3: Cross multiply
    289,716.40x = 434,617.80 × 102,713.20
  4. Step 4: Simplify right side
    289,716.40x = 44,640,985,014.96
  5. Step 5: Solve for x
    x = 44,640,985,014.96/289,716.40
  6. Step 6: Final answer
    x = 154,085.12

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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.