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Finding the Fourth Proportional to 283,062.90, 390,460.92 and 181,051.14

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Solution

The fourth proportional to 283,062.90, 390,460.92 and 181,051.14 is: 249,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,062.90 : 390,460.92 = 181,051.14 : x
  2. Step 2: Convert to fraction form
    283,062.90/390,460.92 = 181,051.14/x
  3. Step 3: Cross multiply
    283,062.90x = 390,460.92 × 181,051.14
  4. Step 4: Simplify right side
    283,062.90x = 70,693,394,691.45
  5. Step 5: Solve for x
    x = 70,693,394,691.45/283,062.90
  6. Step 6: Final answer
    x = 249,744.47

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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.