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Finding the Fourth Proportional to 277,141.74, 382,455.45 and 149,817.57

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Solution

The fourth proportional to 277,141.74, 382,455.45 and 149,817.57 is: 206,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,141.74 : 382,455.45 = 149,817.57 : x
  2. Step 2: Convert to fraction form
    277,141.74/382,455.45 = 149,817.57/x
  3. Step 3: Cross multiply
    277,141.74x = 382,455.45 × 149,817.57
  4. Step 4: Simplify right side
    277,141.74x = 57,298,546,152.26
  5. Step 5: Solve for x
    x = 57,298,546,152.26/277,141.74
  6. Step 6: Final answer
    x = 206,748.16

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1.5x scale

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.