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Finding the Fourth Proportional to 100,365.86, 138,465.37 and 57,916.19

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Solution

The fourth proportional to 100,365.86, 138,465.37 and 57,916.19 is: 79,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,365.86 : 138,465.37 = 57,916.19 : x
  2. Step 2: Convert to fraction form
    100,365.86/138,465.37 = 57,916.19/x
  3. Step 3: Cross multiply
    100,365.86x = 138,465.37 × 57,916.19
  4. Step 4: Simplify right side
    100,365.86x = 8,019,386,677.34
  5. Step 5: Solve for x
    x = 8,019,386,677.34/100,365.86
  6. Step 6: Final answer
    x = 79,901.54

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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.