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Finding the Fourth Proportional to 200,185.81, 276,248.16 and 119,657.74

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Solution

The fourth proportional to 200,185.81, 276,248.16 and 119,657.74 is: 165,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,185.81 : 276,248.16 = 119,657.74 : x
  2. Step 2: Convert to fraction form
    200,185.81/276,248.16 = 119,657.74/x
  3. Step 3: Cross multiply
    200,185.81x = 276,248.16 × 119,657.74
  4. Step 4: Simplify right side
    200,185.81x = 33,055,230,504.76
  5. Step 5: Solve for x
    x = 33,055,230,504.76/200,185.81
  6. Step 6: Final answer
    x = 165,122.75

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1.5x scale

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.