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Finding the Fourth Proportional to 102,423.50, 141,345.04 and 57,104.34

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Solution

The fourth proportional to 102,423.50, 141,345.04 and 57,104.34 is: 78,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,423.50 : 141,345.04 = 57,104.34 : x
  2. Step 2: Convert to fraction form
    102,423.50/141,345.04 = 57,104.34/x
  3. Step 3: Cross multiply
    102,423.50x = 141,345.04 × 57,104.34
  4. Step 4: Simplify right side
    102,423.50x = 8,071,415,221.47
  5. Step 5: Solve for x
    x = 8,071,415,221.47/102,423.50
  6. Step 6: Final answer
    x = 78,804.33

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