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Finding the Fourth Proportional to 277,254.82, 382,612.56 and 149,931.31

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Solution

The fourth proportional to 277,254.82, 382,612.56 and 149,931.31 is: 206,905.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,254.82 : 382,612.56 = 149,931.31 : x
  2. Step 2: Convert to fraction form
    277,254.82/382,612.56 = 149,931.31/x
  3. Step 3: Cross multiply
    277,254.82x = 382,612.56 × 149,931.31
  4. Step 4: Simplify right side
    277,254.82x = 57,365,602,343.25
  5. Step 5: Solve for x
    x = 57,365,602,343.25/277,254.82
  6. Step 6: Final answer
    x = 206,905.70

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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.