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Finding the Fourth Proportional to 342,855.90, 514,184.52 and 102,960.12

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Solution

The fourth proportional to 342,855.90, 514,184.52 and 102,960.12 is: 154,410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,855.90 : 514,184.52 = 102,960.12 : x
  2. Step 2: Convert to fraction form
    342,855.90/514,184.52 = 102,960.12/x
  3. Step 3: Cross multiply
    342,855.90x = 514,184.52 × 102,960.12
  4. Step 4: Simplify right side
    342,855.90x = 52,940,499,881.34
  5. Step 5: Solve for x
    x = 52,940,499,881.34/342,855.90
  6. Step 6: Final answer
    x = 154,410.35

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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.