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Finding the Fourth Proportional to 204,369.60, 282,054.60 and 123,794.76

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Solution

The fourth proportional to 204,369.60, 282,054.60 and 123,794.76 is: 170,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,369.60 : 282,054.60 = 123,794.76 : x
  2. Step 2: Convert to fraction form
    204,369.60/282,054.60 = 123,794.76/x
  3. Step 3: Cross multiply
    204,369.60x = 282,054.60 × 123,794.76
  4. Step 4: Simplify right side
    204,369.60x = 34,916,881,513.90
  5. Step 5: Solve for x
    x = 34,916,881,513.90/204,369.60
  6. Step 6: Final answer
    x = 170,851.64

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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.