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Finding the Fourth Proportional to 209,927.52, 289,689.50 and 119,271.51

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Solution

The fourth proportional to 209,927.52, 289,689.50 and 119,271.51 is: 164,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,927.52 : 289,689.50 = 119,271.51 : x
  2. Step 2: Convert to fraction form
    209,927.52/289,689.50 = 119,271.51/x
  3. Step 3: Cross multiply
    209,927.52x = 289,689.50 × 119,271.51
  4. Step 4: Simplify right side
    209,927.52x = 34,551,704,394.32
  5. Step 5: Solve for x
    x = 34,551,704,394.32/209,927.52
  6. Step 6: Final answer
    x = 164,588.73

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Why These Related Problems?

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