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Finding the Fourth Proportional to 148,928.32, 223,403.32 and 55,434

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Solution

The fourth proportional to 148,928.32, 223,403.32 and 55,434 is: 83,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,928.32 : 223,403.32 = 55,434 : x
  2. Step 2: Convert to fraction form
    148,928.32/223,403.32 = 55,434/x
  3. Step 3: Cross multiply
    148,928.32x = 223,403.32 × 55,434
  4. Step 4: Simplify right side
    148,928.32x = 12,384,139,640.88
  5. Step 5: Solve for x
    x = 12,384,139,640.88/148,928.32
  6. Step 6: Final answer
    x = 83,155.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.