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Finding the Fourth Proportional to 142,192.44, 213,300 and 48,699

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Solution

The fourth proportional to 142,192.44, 213,300 and 48,699 is: 73,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,192.44 : 213,300 = 48,699 : x
  2. Step 2: Convert to fraction form
    142,192.44/213,300 = 48,699/x
  3. Step 3: Cross multiply
    142,192.44x = 213,300 × 48,699
  4. Step 4: Simplify right side
    142,192.44x = 10,387,496,700
  5. Step 5: Solve for x
    x = 10,387,496,700/142,192.44
  6. Step 6: Final answer
    x = 73,052.38

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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.