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Finding the Fourth Proportional to 215,762.99, 297,746.73 and 120,267.63

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Solution

The fourth proportional to 215,762.99, 297,746.73 and 120,267.63 is: 165,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,762.99 : 297,746.73 = 120,267.63 : x
  2. Step 2: Convert to fraction form
    215,762.99/297,746.73 = 120,267.63/x
  3. Step 3: Cross multiply
    215,762.99x = 297,746.73 × 120,267.63
  4. Step 4: Simplify right side
    215,762.99x = 35,809,293,700.38
  5. Step 5: Solve for x
    x = 35,809,293,700.38/215,762.99
  6. Step 6: Final answer
    x = 165,965.88

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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.