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Finding the Fourth Proportional to 200,868.60, 301,302.90 and 116,887.80

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Solution

The fourth proportional to 200,868.60, 301,302.90 and 116,887.80 is: 175,331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,868.60 : 301,302.90 = 116,887.80 : x
  2. Step 2: Convert to fraction form
    200,868.60/301,302.90 = 116,887.80/x
  3. Step 3: Cross multiply
    200,868.60x = 301,302.90 × 116,887.80
  4. Step 4: Simplify right side
    200,868.60x = 35,218,633,114.62
  5. Step 5: Solve for x
    x = 35,218,633,114.62/200,868.60
  6. Step 6: Final answer
    x = 175,331.70

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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.