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Finding the Fourth Proportional to 289,400.80, 434,230.80 and 102,546.40

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Solution

The fourth proportional to 289,400.80, 434,230.80 and 102,546.40 is: 153,865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,400.80 : 434,230.80 = 102,546.40 : x
  2. Step 2: Convert to fraction form
    289,400.80/434,230.80 = 102,546.40/x
  3. Step 3: Cross multiply
    289,400.80x = 434,230.80 × 102,546.40
  4. Step 4: Simplify right side
    289,400.80x = 44,528,805,309.12
  5. Step 5: Solve for x
    x = 44,528,805,309.12/289,400.80
  6. Step 6: Final answer
    x = 153,865.52

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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.