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Finding the Fourth Proportional to 237,241.13, 355,861.38 and 77,316.82

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Solution

The fourth proportional to 237,241.13, 355,861.38 and 77,316.82 is: 115,975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,241.13 : 355,861.38 = 77,316.82 : x
  2. Step 2: Convert to fraction form
    237,241.13/355,861.38 = 77,316.82/x
  3. Step 3: Cross multiply
    237,241.13x = 355,861.38 × 77,316.82
  4. Step 4: Simplify right side
    237,241.13x = 27,514,070,262.41
  5. Step 5: Solve for x
    x = 27,514,070,262.41/237,241.13
  6. Step 6: Final answer
    x = 115,975.13

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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.