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Finding the Fourth Proportional to 201,373.49, 302,613.82 and 188,207.40

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Solution

The fourth proportional to 201,373.49, 302,613.82 and 188,207.40 is: 282,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,373.49 : 302,613.82 = 188,207.40 : x
  2. Step 2: Convert to fraction form
    201,373.49/302,613.82 = 188,207.40/x
  3. Step 3: Cross multiply
    201,373.49x = 302,613.82 × 188,207.40
  4. Step 4: Simplify right side
    201,373.49x = 56,954,160,287.02
  5. Step 5: Solve for x
    x = 56,954,160,287.02/201,373.49
  6. Step 6: Final answer
    x = 282,828.49

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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.