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Finding the Fourth Proportional to 205,825.60, 309,256.80 and 130,981.60

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Solution

The fourth proportional to 205,825.60, 309,256.80 and 130,981.60 is: 196,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,825.60 : 309,256.80 = 130,981.60 : x
  2. Step 2: Convert to fraction form
    205,825.60/309,256.80 = 130,981.60/x
  3. Step 3: Cross multiply
    205,825.60x = 309,256.80 × 130,981.60
  4. Step 4: Simplify right side
    205,825.60x = 40,506,950,474.88
  5. Step 5: Solve for x
    x = 40,506,950,474.88/205,825.60
  6. Step 6: Final answer
    x = 196,802.30

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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.