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Finding the Fourth Proportional to 142,679.86, 214,033.94 and 52,746.13

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Solution

The fourth proportional to 142,679.86, 214,033.94 and 52,746.13 is: 79,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,679.86 : 214,033.94 = 52,746.13 : x
  2. Step 2: Convert to fraction form
    142,679.86/214,033.94 = 52,746.13/x
  3. Step 3: Cross multiply
    142,679.86x = 214,033.94 × 52,746.13
  4. Step 4: Simplify right side
    142,679.86x = 11,289,462,558.74
  5. Step 5: Solve for x
    x = 11,289,462,558.74/142,679.86
  6. Step 6: Final answer
    x = 79,124.43

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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.