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Finding the Fourth Proportional to 200,909.02, 277,266.90 and 132,807.86

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Solution

The fourth proportional to 200,909.02, 277,266.90 and 132,807.86 is: 183,283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,909.02 : 277,266.90 = 132,807.86 : x
  2. Step 2: Convert to fraction form
    200,909.02/277,266.90 = 132,807.86/x
  3. Step 3: Cross multiply
    200,909.02x = 277,266.90 × 132,807.86
  4. Step 4: Simplify right side
    200,909.02x = 36,823,223,637.83
  5. Step 5: Solve for x
    x = 36,823,223,637.83/200,909.02
  6. Step 6: Final answer
    x = 183,283.08

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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.