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Finding the Fourth Proportional to 205,416.60, 308,643.30 and 130,572.60

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Solution

The fourth proportional to 205,416.60, 308,643.30 and 130,572.60 is: 196,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,416.60 : 308,643.30 = 130,572.60 : x
  2. Step 2: Convert to fraction form
    205,416.60/308,643.30 = 130,572.60/x
  3. Step 3: Cross multiply
    205,416.60x = 308,643.30 × 130,572.60
  4. Step 4: Simplify right side
    205,416.60x = 40,300,358,153.58
  5. Step 5: Solve for x
    x = 40,300,358,153.58/205,416.60
  6. Step 6: Final answer
    x = 196,188.42

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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.