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Finding the Fourth Proportional to 148,936.30, 223,404.45 and 142,024.30

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Solution

The fourth proportional to 148,936.30, 223,404.45 and 142,024.30 is: 213,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,936.30 : 223,404.45 = 142,024.30 : x
  2. Step 2: Convert to fraction form
    148,936.30/223,404.45 = 142,024.30/x
  3. Step 3: Cross multiply
    148,936.30x = 223,404.45 × 142,024.30
  4. Step 4: Simplify right side
    148,936.30x = 31,728,860,628.14
  5. Step 5: Solve for x
    x = 31,728,860,628.14/148,936.30
  6. Step 6: Final answer
    x = 213,036.45

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1.5x scale

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.