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Finding the Fourth Proportional to 263,807.86, 363,914.45 and 160,473.65

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Solution

The fourth proportional to 263,807.86, 363,914.45 and 160,473.65 is: 221,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,807.86 : 363,914.45 = 160,473.65 : x
  2. Step 2: Convert to fraction form
    263,807.86/363,914.45 = 160,473.65/x
  3. Step 3: Cross multiply
    263,807.86x = 363,914.45 × 160,473.65
  4. Step 4: Simplify right side
    263,807.86x = 58,398,677,457.30
  5. Step 5: Solve for x
    x = 58,398,677,457.30/263,807.86
  6. Step 6: Final answer
    x = 221,368.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.