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Finding the Fourth Proportional to 163,850.71, 245,804.10 and 75,111.84

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Solution

The fourth proportional to 163,850.71, 245,804.10 and 75,111.84 is: 112,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,850.71 : 245,804.10 = 75,111.84 : x
  2. Step 2: Convert to fraction form
    163,850.71/245,804.10 = 75,111.84/x
  3. Step 3: Cross multiply
    163,850.71x = 245,804.10 × 75,111.84
  4. Step 4: Simplify right side
    163,850.71x = 18,462,798,230.54
  5. Step 5: Solve for x
    x = 18,462,798,230.54/163,850.71
  6. Step 6: Final answer
    x = 112,680.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.