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Finding the Fourth Proportional to 137,710.40, 206,565.60 and 132,461.60

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Solution

The fourth proportional to 137,710.40, 206,565.60 and 132,461.60 is: 198,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,710.40 : 206,565.60 = 132,461.60 : x
  2. Step 2: Convert to fraction form
    137,710.40/206,565.60 = 132,461.60/x
  3. Step 3: Cross multiply
    137,710.40x = 206,565.60 × 132,461.60
  4. Step 4: Simplify right side
    137,710.40x = 27,362,009,880.96
  5. Step 5: Solve for x
    x = 27,362,009,880.96/137,710.40
  6. Step 6: Final answer
    x = 198,692.40

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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.