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Finding the Fourth Proportional to 105,258.78, 145,255.40 and 57,511.10

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Solution

The fourth proportional to 105,258.78, 145,255.40 and 57,511.10 is: 79,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,258.78 : 145,255.40 = 57,511.10 : x
  2. Step 2: Convert to fraction form
    105,258.78/145,255.40 = 57,511.10/x
  3. Step 3: Cross multiply
    105,258.78x = 145,255.40 × 57,511.10
  4. Step 4: Simplify right side
    105,258.78x = 8,353,797,834.94
  5. Step 5: Solve for x
    x = 8,353,797,834.94/105,258.78
  6. Step 6: Final answer
    x = 79,364.38

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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.