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Finding the Fourth Proportional to 277,502.40, 382,954.53 and 150,178.01

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Solution

The fourth proportional to 277,502.40, 382,954.53 and 150,178.01 is: 207,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,502.40 : 382,954.53 = 150,178.01 : x
  2. Step 2: Convert to fraction form
    277,502.40/382,954.53 = 150,178.01/x
  3. Step 3: Cross multiply
    277,502.40x = 382,954.53 × 150,178.01
  4. Step 4: Simplify right side
    277,502.40x = 57,511,349,235.89
  5. Step 5: Solve for x
    x = 57,511,349,235.89/277,502.40
  6. Step 6: Final answer
    x = 207,246.31

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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.