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Finding the Fourth Proportional to 105,417.54, 145,389.60 and 75,193.20

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Solution

The fourth proportional to 105,417.54, 145,389.60 and 75,193.20 is: 103,704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,417.54 : 145,389.60 = 75,193.20 : x
  2. Step 2: Convert to fraction form
    105,417.54/145,389.60 = 75,193.20/x
  3. Step 3: Cross multiply
    105,417.54x = 145,389.60 × 75,193.20
  4. Step 4: Simplify right side
    105,417.54x = 10,932,309,270.72
  5. Step 5: Solve for x
    x = 10,932,309,270.72/105,417.54
  6. Step 6: Final answer
    x = 103,704.84

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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.