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Finding the Fourth Proportional to 120,258.88, 180,337.59 and 36,031.03

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Solution

The fourth proportional to 120,258.88, 180,337.59 and 36,031.03 is: 54,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,258.88 : 180,337.59 = 36,031.03 : x
  2. Step 2: Convert to fraction form
    120,258.88/180,337.59 = 36,031.03/x
  3. Step 3: Cross multiply
    120,258.88x = 180,337.59 × 36,031.03
  4. Step 4: Simplify right side
    120,258.88x = 6,497,748,664.57
  5. Step 5: Solve for x
    x = 6,497,748,664.57/120,258.88
  6. Step 6: Final answer
    x = 54,031.34

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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.