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Finding the Fourth Proportional to 174,948, 262,401.16 and 102,943.95

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Solution

The fourth proportional to 174,948, 262,401.16 and 102,943.95 is: 154,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,948 : 262,401.16 = 102,943.95 : x
  2. Step 2: Convert to fraction form
    174,948/262,401.16 = 102,943.95/x
  3. Step 3: Cross multiply
    174,948x = 262,401.16 × 102,943.95
  4. Step 4: Simplify right side
    174,948x = 27,012,611,894.98
  5. Step 5: Solve for x
    x = 27,012,611,894.98/174,948
  6. Step 6: Final answer
    x = 154,403.66

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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.