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Finding the Fourth Proportional to 142,623, 213,946.02 and 44,127

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Solution

The fourth proportional to 142,623, 213,946.02 and 44,127 is: 66,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,623 : 213,946.02 = 44,127 : x
  2. Step 2: Convert to fraction form
    142,623/213,946.02 = 44,127/x
  3. Step 3: Cross multiply
    142,623x = 213,946.02 × 44,127
  4. Step 4: Simplify right side
    142,623x = 9,440,796,024.54
  5. Step 5: Solve for x
    x = 9,440,796,024.54/142,623
  6. Step 6: Final answer
    x = 66,194.06

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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.