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Finding the Fourth Proportional to 102,646.44, 141,647.94 and 57,323.70

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Solution

The fourth proportional to 102,646.44, 141,647.94 and 57,323.70 is: 79,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,646.44 : 141,647.94 = 57,323.70 : x
  2. Step 2: Convert to fraction form
    102,646.44/141,647.94 = 57,323.70/x
  3. Step 3: Cross multiply
    102,646.44x = 141,647.94 × 57,323.70
  4. Step 4: Simplify right side
    102,646.44x = 8,119,784,018.18
  5. Step 5: Solve for x
    x = 8,119,784,018.18/102,646.44
  6. Step 6: Final answer
    x = 79,104.39

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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.