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Finding the Fourth Proportional to 163,969.52, 245,871.60 and 75,148.16

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Solution

The fourth proportional to 163,969.52, 245,871.60 and 75,148.16 is: 112,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,969.52 : 245,871.60 = 75,148.16 : x
  2. Step 2: Convert to fraction form
    163,969.52/245,871.60 = 75,148.16/x
  3. Step 3: Cross multiply
    163,969.52x = 245,871.60 × 75,148.16
  4. Step 4: Simplify right side
    163,969.52x = 18,476,798,336.26
  5. Step 5: Solve for x
    x = 18,476,798,336.26/163,969.52
  6. Step 6: Final answer
    x = 112,684.35

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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.