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Finding the Fourth Proportional to 277,294.59, 382,666.54 and 149,970.19

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Solution

The fourth proportional to 277,294.59, 382,666.54 and 149,970.19 is: 206,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,294.59 : 382,666.54 = 149,970.19 : x
  2. Step 2: Convert to fraction form
    277,294.59/382,666.54 = 149,970.19/x
  3. Step 3: Cross multiply
    277,294.59x = 382,666.54 × 149,970.19
  4. Step 4: Simplify right side
    277,294.59x = 57,388,573,710.44
  5. Step 5: Solve for x
    x = 57,388,573,710.44/277,294.59
  6. Step 6: Final answer
    x = 206,958.87

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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.