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Finding the Fourth Proportional to 147,352.98, 203,364.40 and 82,822.31

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Solution

The fourth proportional to 147,352.98, 203,364.40 and 82,822.31 is: 114,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,352.98 : 203,364.40 = 82,822.31 : x
  2. Step 2: Convert to fraction form
    147,352.98/203,364.40 = 82,822.31/x
  3. Step 3: Cross multiply
    147,352.98x = 203,364.40 × 82,822.31
  4. Step 4: Simplify right side
    147,352.98x = 16,843,108,155.89
  5. Step 5: Solve for x
    x = 16,843,108,155.89/147,352.98
  6. Step 6: Final answer
    x = 114,304.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.