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Finding the Fourth Proportional to 263,902, 364,207.80 and 144,693.04

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Solution

The fourth proportional to 263,902, 364,207.80 and 144,693.04 is: 199,689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,902 : 364,207.80 = 144,693.04 : x
  2. Step 2: Convert to fraction form
    263,902/364,207.80 = 144,693.04/x
  3. Step 3: Cross multiply
    263,902x = 364,207.80 × 144,693.04
  4. Step 4: Simplify right side
    263,902x = 52,698,333,773.71
  5. Step 5: Solve for x
    x = 52,698,333,773.71/263,902
  6. Step 6: Final answer
    x = 199,689.03

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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.