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Finding the Fourth Proportional to 266,802.10, 400,055.46 and 109,141.30

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Solution

The fourth proportional to 266,802.10, 400,055.46 and 109,141.30 is: 163,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,802.10 : 400,055.46 = 109,141.30 : x
  2. Step 2: Convert to fraction form
    266,802.10/400,055.46 = 109,141.30/x
  3. Step 3: Cross multiply
    266,802.10x = 400,055.46 × 109,141.30
  4. Step 4: Simplify right side
    266,802.10x = 43,662,572,976.50
  5. Step 5: Solve for x
    x = 43,662,572,976.50/266,802.10
  6. Step 6: Final answer
    x = 163,651.53

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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.