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Finding the Fourth Proportional to 260,042.80, 390,064.20 and 120,074.80

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Solution

The fourth proportional to 260,042.80, 390,064.20 and 120,074.80 is: 180,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,042.80 : 390,064.20 = 120,074.80 : x
  2. Step 2: Convert to fraction form
    260,042.80/390,064.20 = 120,074.80/x
  3. Step 3: Cross multiply
    260,042.80x = 390,064.20 × 120,074.80
  4. Step 4: Simplify right side
    260,042.80x = 46,836,880,802.16
  5. Step 5: Solve for x
    x = 46,836,880,802.16/260,042.80
  6. Step 6: Final answer
    x = 180,112.20

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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.