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Finding the Fourth Proportional to 308,573.35, 462,870.25 and 106,167.51

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Solution

The fourth proportional to 308,573.35, 462,870.25 and 106,167.51 is: 159,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,573.35 : 462,870.25 = 106,167.51 : x
  2. Step 2: Convert to fraction form
    308,573.35/462,870.25 = 106,167.51/x
  3. Step 3: Cross multiply
    308,573.35x = 462,870.25 × 106,167.51
  4. Step 4: Simplify right side
    308,573.35x = 49,141,781,630.16
  5. Step 5: Solve for x
    x = 49,141,781,630.16/308,573.35
  6. Step 6: Final answer
    x = 159,254.78

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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.