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Finding the Fourth Proportional to 144,026.40, 216,039.60 and 137,465.40

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Solution

The fourth proportional to 144,026.40, 216,039.60 and 137,465.40 is: 206,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,026.40 : 216,039.60 = 137,465.40 : x
  2. Step 2: Convert to fraction form
    144,026.40/216,039.60 = 137,465.40/x
  3. Step 3: Cross multiply
    144,026.40x = 216,039.60 × 137,465.40
  4. Step 4: Simplify right side
    144,026.40x = 29,697,970,029.84
  5. Step 5: Solve for x
    x = 29,697,970,029.84/144,026.40
  6. Step 6: Final answer
    x = 206,198.10

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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.