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Finding the Fourth Proportional to 148,401.16, 222,627.66 and 65,293

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Solution

The fourth proportional to 148,401.16, 222,627.66 and 65,293 is: 97,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,401.16 : 222,627.66 = 65,293 : x
  2. Step 2: Convert to fraction form
    148,401.16/222,627.66 = 65,293/x
  3. Step 3: Cross multiply
    148,401.16x = 222,627.66 × 65,293
  4. Step 4: Simplify right side
    148,401.16x = 14,536,027,804.38
  5. Step 5: Solve for x
    x = 14,536,027,804.38/148,401.16
  6. Step 6: Final answer
    x = 97,950.90

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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.