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Finding the Fourth Proportional to 200,534.63, 276,737.81 and 119,965.55

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Solution

The fourth proportional to 200,534.63, 276,737.81 and 119,965.55 is: 165,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,534.63 : 276,737.81 = 119,965.55 : x
  2. Step 2: Convert to fraction form
    200,534.63/276,737.81 = 119,965.55/x
  3. Step 3: Cross multiply
    200,534.63x = 276,737.81 × 119,965.55
  4. Step 4: Simplify right side
    200,534.63x = 33,199,001,598.93
  5. Step 5: Solve for x
    x = 33,199,001,598.93/200,534.63
  6. Step 6: Final answer
    x = 165,552.47

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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.