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Finding the Fourth Proportional to 148,400.16, 222,626.16 and 65,292

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Solution

The fourth proportional to 148,400.16, 222,626.16 and 65,292 is: 97,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,400.16 : 222,626.16 = 65,292 : x
  2. Step 2: Convert to fraction form
    148,400.16/222,626.16 = 65,292/x
  3. Step 3: Cross multiply
    148,400.16x = 222,626.16 × 65,292
  4. Step 4: Simplify right side
    148,400.16x = 14,535,707,238.72
  5. Step 5: Solve for x
    x = 14,535,707,238.72/148,400.16
  6. Step 6: Final answer
    x = 97,949.40

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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.