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Finding the Fourth Proportional to 268,144.89, 370,041.53 and 147,283.06

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Solution

The fourth proportional to 268,144.89, 370,041.53 and 147,283.06 is: 203,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,144.89 : 370,041.53 = 147,283.06 : x
  2. Step 2: Convert to fraction form
    268,144.89/370,041.53 = 147,283.06/x
  3. Step 3: Cross multiply
    268,144.89x = 370,041.53 × 147,283.06
  4. Step 4: Simplify right side
    268,144.89x = 54,500,848,865.48
  5. Step 5: Solve for x
    x = 54,500,848,865.48/268,144.89
  6. Step 6: Final answer
    x = 203,251.49

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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.