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Finding the Fourth Proportional to 536,901.77, 805,334.00 and 137,546.48

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Solution

The fourth proportional to 536,901.77, 805,334.00 and 137,546.48 is: 206,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,901.77 : 805,334.00 = 137,546.48 : x
  2. Step 2: Convert to fraction form
    536,901.77/805,334.00 = 137,546.48/x
  3. Step 3: Cross multiply
    536,901.77x = 805,334.00 × 137,546.48
  4. Step 4: Simplify right side
    536,901.77x = 110,770,852,209.92
  5. Step 5: Solve for x
    x = 110,770,852,209.92/536,901.77
  6. Step 6: Final answer
    x = 206,314.93

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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.