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Finding the Fourth Proportional to 102,594.83, 141,583.07 and 56,654.33

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Solution

The fourth proportional to 102,594.83, 141,583.07 and 56,654.33 is: 78,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,594.83 : 141,583.07 = 56,654.33 : x
  2. Step 2: Convert to fraction form
    102,594.83/141,583.07 = 56,654.33/x
  3. Step 3: Cross multiply
    102,594.83x = 141,583.07 × 56,654.33
  4. Step 4: Simplify right side
    102,594.83x = 8,021,293,403.91
  5. Step 5: Solve for x
    x = 8,021,293,403.91/102,594.83
  6. Step 6: Final answer
    x = 78,184.19

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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.