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Finding the Fourth Proportional to 207,409.80, 310,596.30 and 136,907.40

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Solution

The fourth proportional to 207,409.80, 310,596.30 and 136,907.40 is: 205,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,409.80 : 310,596.30 = 136,907.40 : x
  2. Step 2: Convert to fraction form
    207,409.80/310,596.30 = 136,907.40/x
  3. Step 3: Cross multiply
    207,409.80x = 310,596.30 × 136,907.40
  4. Step 4: Simplify right side
    207,409.80x = 42,522,931,882.62
  5. Step 5: Solve for x
    x = 42,522,931,882.62/207,409.80
  6. Step 6: Final answer
    x = 205,018.91

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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.