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Finding the Fourth Proportional to 204,548, 282,275.94 and 113,911.90

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Solution

The fourth proportional to 204,548, 282,275.94 and 113,911.90 is: 157,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,548 : 282,275.94 = 113,911.90 : x
  2. Step 2: Convert to fraction form
    204,548/282,275.94 = 113,911.90/x
  3. Step 3: Cross multiply
    204,548x = 282,275.94 × 113,911.90
  4. Step 4: Simplify right side
    204,548x = 32,154,588,649.69
  5. Step 5: Solve for x
    x = 32,154,588,649.69/204,548
  6. Step 6: Final answer
    x = 157,198.25

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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.