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Finding the Fourth Proportional to 390,109.96, 585,185.10 and 123,891.40

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Solution

The fourth proportional to 390,109.96, 585,185.10 and 123,891.40 is: 185,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,109.96 : 585,185.10 = 123,891.40 : x
  2. Step 2: Convert to fraction form
    390,109.96/585,185.10 = 123,891.40/x
  3. Step 3: Cross multiply
    390,109.96x = 585,185.10 × 123,891.40
  4. Step 4: Simplify right side
    390,109.96x = 72,499,401,298.14
  5. Step 5: Solve for x
    x = 72,499,401,298.14/390,109.96
  6. Step 6: Final answer
    x = 185,843.50

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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.