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Finding the Fourth Proportional to 102,893.66, 141,998.74 and 57,568.90

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Solution

The fourth proportional to 102,893.66, 141,998.74 and 57,568.90 is: 79,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,893.66 : 141,998.74 = 57,568.90 : x
  2. Step 2: Convert to fraction form
    102,893.66/141,998.74 = 57,568.90/x
  3. Step 3: Cross multiply
    102,893.66x = 141,998.74 × 57,568.90
  4. Step 4: Simplify right side
    102,893.66x = 8,174,711,263.19
  5. Step 5: Solve for x
    x = 8,174,711,263.19/102,893.66
  6. Step 6: Final answer
    x = 79,448.15

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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.