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Finding the Fourth Proportional to 173,208.10, 259,569.15 and 137,730.10

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Solution

The fourth proportional to 173,208.10, 259,569.15 and 137,730.10 is: 206,401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,208.10 : 259,569.15 = 137,730.10 : x
  2. Step 2: Convert to fraction form
    173,208.10/259,569.15 = 137,730.10/x
  3. Step 3: Cross multiply
    173,208.10x = 259,569.15 × 137,730.10
  4. Step 4: Simplify right side
    173,208.10x = 35,750,484,986.42
  5. Step 5: Solve for x
    x = 35,750,484,986.42/173,208.10
  6. Step 6: Final answer
    x = 206,401.92

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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.