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Finding the Fourth Proportional to 102,644.92, 141,641.94 and 57,319.39

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Solution

The fourth proportional to 102,644.92, 141,641.94 and 57,319.39 is: 79,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,644.92 : 141,641.94 = 57,319.39 : x
  2. Step 2: Convert to fraction form
    102,644.92/141,641.94 = 57,319.39/x
  3. Step 3: Cross multiply
    102,644.92x = 141,641.94 × 57,319.39
  4. Step 4: Simplify right side
    102,644.92x = 8,118,829,599.22
  5. Step 5: Solve for x
    x = 8,118,829,599.22/102,644.92
  6. Step 6: Final answer
    x = 79,096.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.