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Finding the Fourth Proportional to 243,816.40, 365,724.60 and 176,942.80

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Solution

The fourth proportional to 243,816.40, 365,724.60 and 176,942.80 is: 265,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,816.40 : 365,724.60 = 176,942.80 : x
  2. Step 2: Convert to fraction form
    243,816.40/365,724.60 = 176,942.80/x
  3. Step 3: Cross multiply
    243,816.40x = 365,724.60 × 176,942.80
  4. Step 4: Simplify right side
    243,816.40x = 64,712,334,752.88
  5. Step 5: Solve for x
    x = 64,712,334,752.88/243,816.40
  6. Step 6: Final answer
    x = 265,414.20

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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.