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Finding the Fourth Proportional to 142,762.62, 214,060.90 and 54,022.98

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Solution

The fourth proportional to 142,762.62, 214,060.90 and 54,022.98 is: 81,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,762.62 : 214,060.90 = 54,022.98 : x
  2. Step 2: Convert to fraction form
    142,762.62/214,060.90 = 54,022.98/x
  3. Step 3: Cross multiply
    142,762.62x = 214,060.90 × 54,022.98
  4. Step 4: Simplify right side
    142,762.62x = 11,564,207,719.48
  5. Step 5: Solve for x
    x = 11,564,207,719.48/142,762.62
  6. Step 6: Final answer
    x = 81,003.05

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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.