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Finding the Fourth Proportional to 109,256.76, 163,858.14 and 30,367.08

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Solution

The fourth proportional to 109,256.76, 163,858.14 and 30,367.08 is: 45,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,256.76 : 163,858.14 = 30,367.08 : x
  2. Step 2: Convert to fraction form
    109,256.76/163,858.14 = 30,367.08/x
  3. Step 3: Cross multiply
    109,256.76x = 163,858.14 × 30,367.08
  4. Step 4: Simplify right side
    109,256.76x = 4,975,893,246.03
  5. Step 5: Solve for x
    x = 4,975,893,246.03/109,256.76
  6. Step 6: Final answer
    x = 45,543.12

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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.