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Finding the Fourth Proportional to 105,211.86, 145,190.03 and 57,465.38

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Solution

The fourth proportional to 105,211.86, 145,190.03 and 57,465.38 is: 79,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,211.86 : 145,190.03 = 57,465.38 : x
  2. Step 2: Convert to fraction form
    105,211.86/145,190.03 = 57,465.38/x
  3. Step 3: Cross multiply
    105,211.86x = 145,190.03 × 57,465.38
  4. Step 4: Simplify right side
    105,211.86x = 8,343,399,232.88
  5. Step 5: Solve for x
    x = 8,343,399,232.88/105,211.86
  6. Step 6: Final answer
    x = 79,300.94

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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.