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Finding the Fourth Proportional to 200,783.99, 301,079.10 and 116,565.35

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Solution

The fourth proportional to 200,783.99, 301,079.10 and 116,565.35 is: 174,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,783.99 : 301,079.10 = 116,565.35 : x
  2. Step 2: Convert to fraction form
    200,783.99/301,079.10 = 116,565.35/x
  3. Step 3: Cross multiply
    200,783.99x = 301,079.10 × 116,565.35
  4. Step 4: Simplify right side
    200,783.99x = 35,095,391,813.42
  5. Step 5: Solve for x
    x = 35,095,391,813.42/200,783.99
  6. Step 6: Final answer
    x = 174,791.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.