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Finding the Fourth Proportional to 214,669.71, 322,095.69 and 114,804

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Solution

The fourth proportional to 214,669.71, 322,095.69 and 114,804 is: 172,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,669.71 : 322,095.69 = 114,804 : x
  2. Step 2: Convert to fraction form
    214,669.71/322,095.69 = 114,804/x
  3. Step 3: Cross multiply
    214,669.71x = 322,095.69 × 114,804
  4. Step 4: Simplify right side
    214,669.71x = 36,977,873,594.76
  5. Step 5: Solve for x
    x = 36,977,873,594.76/214,669.71
  6. Step 6: Final answer
    x = 172,254.73

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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.