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Finding the Fourth Proportional to 148,894.50, 223,210.50 and 55,334.64

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Solution

The fourth proportional to 148,894.50, 223,210.50 and 55,334.64 is: 82,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,894.50 : 223,210.50 = 55,334.64 : x
  2. Step 2: Convert to fraction form
    148,894.50/223,210.50 = 55,334.64/x
  3. Step 3: Cross multiply
    148,894.50x = 223,210.50 × 55,334.64
  4. Step 4: Simplify right side
    148,894.50x = 12,351,272,661.72
  5. Step 5: Solve for x
    x = 12,351,272,661.72/148,894.50
  6. Step 6: Final answer
    x = 82,953.18

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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.