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Finding the Fourth Proportional to 277,426.42, 382,848.46 and 150,102.01

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Solution

The fourth proportional to 277,426.42, 382,848.46 and 150,102.01 is: 207,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,426.42 : 382,848.46 = 150,102.01 : x
  2. Step 2: Convert to fraction form
    277,426.42/382,848.46 = 150,102.01/x
  3. Step 3: Cross multiply
    277,426.42x = 382,848.46 × 150,102.01
  4. Step 4: Simplify right side
    277,426.42x = 57,466,323,371.40
  5. Step 5: Solve for x
    x = 57,466,323,371.40/277,426.42
  6. Step 6: Final answer
    x = 207,140.77

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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.