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Finding the Fourth Proportional to 308,815.60, 463,260.72 and 109,095.10

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Solution

The fourth proportional to 308,815.60, 463,260.72 and 109,095.10 is: 163,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,815.60 : 463,260.72 = 109,095.10 : x
  2. Step 2: Convert to fraction form
    308,815.60/463,260.72 = 109,095.10/x
  3. Step 3: Cross multiply
    308,815.60x = 463,260.72 × 109,095.10
  4. Step 4: Simplify right side
    308,815.60x = 50,539,474,574.47
  5. Step 5: Solve for x
    x = 50,539,474,574.47/308,815.60
  6. Step 6: Final answer
    x = 163,655.83

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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.