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Finding the Fourth Proportional to 283,033.88, 390,748.56 and 187,670.18

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Solution

The fourth proportional to 283,033.88, 390,748.56 and 187,670.18 is: 259,092.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,033.88 : 390,748.56 = 187,670.18 : x
  2. Step 2: Convert to fraction form
    283,033.88/390,748.56 = 187,670.18/x
  3. Step 3: Cross multiply
    283,033.88x = 390,748.56 × 187,670.18
  4. Step 4: Simplify right side
    283,033.88x = 73,331,852,589.94
  5. Step 5: Solve for x
    x = 73,331,852,589.94/283,033.88
  6. Step 6: Final answer
    x = 259,092.14

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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.