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Finding the Fourth Proportional to 205,978.60, 308,967.90 and 202,479.40

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Solution

The fourth proportional to 205,978.60, 308,967.90 and 202,479.40 is: 303,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,978.60 : 308,967.90 = 202,479.40 : x
  2. Step 2: Convert to fraction form
    205,978.60/308,967.90 = 202,479.40/x
  3. Step 3: Cross multiply
    205,978.60x = 308,967.90 × 202,479.40
  4. Step 4: Simplify right side
    205,978.60x = 62,559,635,011.26
  5. Step 5: Solve for x
    x = 62,559,635,011.26/205,978.60
  6. Step 6: Final answer
    x = 303,719.10

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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.