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Finding the Fourth Proportional to 192,467.46, 265,594.32 and 106,421.46

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Solution

The fourth proportional to 192,467.46, 265,594.32 and 106,421.46 is: 146,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,467.46 : 265,594.32 = 106,421.46 : x
  2. Step 2: Convert to fraction form
    192,467.46/265,594.32 = 106,421.46/x
  3. Step 3: Cross multiply
    192,467.46x = 265,594.32 × 106,421.46
  4. Step 4: Simplify right side
    192,467.46x = 28,264,935,302.11
  5. Step 5: Solve for x
    x = 28,264,935,302.11/192,467.46
  6. Step 6: Final answer
    x = 146,855.66

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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.