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Finding the Fourth Proportional to 277,287.00, 382,656.20 and 149,962.59

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Solution

The fourth proportional to 277,287.00, 382,656.20 and 149,962.59 is: 206,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,287.00 : 382,656.20 = 149,962.59 : x
  2. Step 2: Convert to fraction form
    277,287.00/382,656.20 = 149,962.59/x
  3. Step 3: Cross multiply
    277,287.00x = 382,656.20 × 149,962.59
  4. Step 4: Simplify right side
    277,287.00x = 57,384,114,925.28
  5. Step 5: Solve for x
    x = 57,384,114,925.28/277,287.00
  6. Step 6: Final answer
    x = 206,948.45

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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.