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Finding the Fourth Proportional to 214,397.43, 295,860.96 and 118,913.01

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Solution

The fourth proportional to 214,397.43, 295,860.96 and 118,913.01 is: 164,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,397.43 : 295,860.96 = 118,913.01 : x
  2. Step 2: Convert to fraction form
    214,397.43/295,860.96 = 118,913.01/x
  3. Step 3: Cross multiply
    214,397.43x = 295,860.96 × 118,913.01
  4. Step 4: Simplify right side
    214,397.43x = 35,181,717,295.09
  5. Step 5: Solve for x
    x = 35,181,717,295.09/214,397.43
  6. Step 6: Final answer
    x = 164,095.80

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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.