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Finding the Fourth Proportional to 347,803.47, 521,902.64 and 148,103.03

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Solution

The fourth proportional to 347,803.47, 521,902.64 and 148,103.03 is: 222,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,803.47 : 521,902.64 = 148,103.03 : x
  2. Step 2: Convert to fraction form
    347,803.47/521,902.64 = 148,103.03/x
  3. Step 3: Cross multiply
    347,803.47x = 521,902.64 × 148,103.03
  4. Step 4: Simplify right side
    347,803.47x = 77,295,364,024.01
  5. Step 5: Solve for x
    x = 77,295,364,024.01/347,803.47
  6. Step 6: Final answer
    x = 222,238.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.