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Finding the Fourth Proportional to 129,870.80, 194,806.20 and 46,734.80

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Solution

The fourth proportional to 129,870.80, 194,806.20 and 46,734.80 is: 70,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,870.80 : 194,806.20 = 46,734.80 : x
  2. Step 2: Convert to fraction form
    129,870.80/194,806.20 = 46,734.80/x
  3. Step 3: Cross multiply
    129,870.80x = 194,806.20 × 46,734.80
  4. Step 4: Simplify right side
    129,870.80x = 9,104,228,795.76
  5. Step 5: Solve for x
    x = 9,104,228,795.76/129,870.80
  6. Step 6: Final answer
    x = 70,102.20

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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.