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Finding the Fourth Proportional to 142,699.92, 214,052.00 and 67,827.77

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Solution

The fourth proportional to 142,699.92, 214,052.00 and 67,827.77 is: 101,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,699.92 : 214,052.00 = 67,827.77 : x
  2. Step 2: Convert to fraction form
    142,699.92/214,052.00 = 67,827.77/x
  3. Step 3: Cross multiply
    142,699.92x = 214,052.00 × 67,827.77
  4. Step 4: Simplify right side
    142,699.92x = 14,518,668,414.64
  5. Step 5: Solve for x
    x = 14,518,668,414.64/142,699.92
  6. Step 6: Final answer
    x = 101,742.65

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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.