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Finding the Fourth Proportional to 120,397.12, 165,767.88 and 106,048

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Solution

The fourth proportional to 120,397.12, 165,767.88 and 106,048 is: 146,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,397.12 : 165,767.88 = 106,048 : x
  2. Step 2: Convert to fraction form
    120,397.12/165,767.88 = 106,048/x
  3. Step 3: Cross multiply
    120,397.12x = 165,767.88 × 106,048
  4. Step 4: Simplify right side
    120,397.12x = 17,579,352,138.24
  5. Step 5: Solve for x
    x = 17,579,352,138.24/120,397.12
  6. Step 6: Final answer
    x = 146,011.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.