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Finding the Fourth Proportional to 308,853, 463,357.26 and 87,237

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Solution

The fourth proportional to 308,853, 463,357.26 and 87,237 is: 130,877.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,853 : 463,357.26 = 87,237 : x
  2. Step 2: Convert to fraction form
    308,853/463,357.26 = 87,237/x
  3. Step 3: Cross multiply
    308,853x = 463,357.26 × 87,237
  4. Step 4: Simplify right side
    308,853x = 40,421,897,290.62
  5. Step 5: Solve for x
    x = 40,421,897,290.62/308,853
  6. Step 6: Final answer
    x = 130,877.46

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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.