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Finding the Fourth Proportional to 137,243.80, 205,865.70 and 135,931.60

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Solution

The fourth proportional to 137,243.80, 205,865.70 and 135,931.60 is: 203,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,243.80 : 205,865.70 = 135,931.60 : x
  2. Step 2: Convert to fraction form
    137,243.80/205,865.70 = 135,931.60/x
  3. Step 3: Cross multiply
    137,243.80x = 205,865.70 × 135,931.60
  4. Step 4: Simplify right side
    137,243.80x = 27,983,653,986.12
  5. Step 5: Solve for x
    x = 27,983,653,986.12/137,243.80
  6. Step 6: Final answer
    x = 203,897.40

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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.