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Finding the Fourth Proportional to 233,137.60, 349,706.40 and 206,893.60

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Solution

The fourth proportional to 233,137.60, 349,706.40 and 206,893.60 is: 310,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,137.60 : 349,706.40 = 206,893.60 : x
  2. Step 2: Convert to fraction form
    233,137.60/349,706.40 = 206,893.60/x
  3. Step 3: Cross multiply
    233,137.60x = 349,706.40 × 206,893.60
  4. Step 4: Simplify right side
    233,137.60x = 72,352,016,039.04
  5. Step 5: Solve for x
    x = 72,352,016,039.04/233,137.60
  6. Step 6: Final answer
    x = 310,340.40

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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.