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Finding the Fourth Proportional to 337,097.34, 465,185.43 and 186,191.10

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Solution

The fourth proportional to 337,097.34, 465,185.43 and 186,191.10 is: 256,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,097.34 : 465,185.43 = 186,191.10 : x
  2. Step 2: Convert to fraction form
    337,097.34/465,185.43 = 186,191.10/x
  3. Step 3: Cross multiply
    337,097.34x = 465,185.43 × 186,191.10
  4. Step 4: Simplify right side
    337,097.34x = 86,613,386,915.67
  5. Step 5: Solve for x
    x = 86,613,386,915.67/337,097.34
  6. Step 6: Final answer
    x = 256,938.80

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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.