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Finding the Fourth Proportional to 136,907.40, 204,957.90 and 102,001.80

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Solution

The fourth proportional to 136,907.40, 204,957.90 and 102,001.80 is: 152,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,907.40 : 204,957.90 = 102,001.80 : x
  2. Step 2: Convert to fraction form
    136,907.40/204,957.90 = 102,001.80/x
  3. Step 3: Cross multiply
    136,907.40x = 204,957.90 × 102,001.80
  4. Step 4: Simplify right side
    136,907.40x = 20,906,074,724.22
  5. Step 5: Solve for x
    x = 20,906,074,724.22/136,907.40
  6. Step 6: Final answer
    x = 152,702.30

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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.