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Finding the Fourth Proportional to 120,223.52, 165,818.40 and 106,627.52

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Solution

The fourth proportional to 120,223.52, 165,818.40 and 106,627.52 is: 147,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,223.52 : 165,818.40 = 106,627.52 : x
  2. Step 2: Convert to fraction form
    120,223.52/165,818.40 = 106,627.52/x
  3. Step 3: Cross multiply
    120,223.52x = 165,818.40 × 106,627.52
  4. Step 4: Simplify right side
    120,223.52x = 17,680,804,762.37
  5. Step 5: Solve for x
    x = 17,680,804,762.37/120,223.52
  6. Step 6: Final answer
    x = 147,066.10

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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.