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Finding the Fourth Proportional to 142,893.16, 214,339.79 and 52,966.79

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Solution

The fourth proportional to 142,893.16, 214,339.79 and 52,966.79 is: 79,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,893.16 : 214,339.79 = 52,966.79 : x
  2. Step 2: Convert to fraction form
    142,893.16/214,339.79 = 52,966.79/x
  3. Step 3: Cross multiply
    142,893.16x = 214,339.79 × 52,966.79
  4. Step 4: Simplify right side
    142,893.16x = 11,352,890,916.59
  5. Step 5: Solve for x
    x = 11,352,890,916.59/142,893.16
  6. Step 6: Final answer
    x = 79,450.21

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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.