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Finding the Fourth Proportional to 260,031.90, 390,047.85 and 161,727.90

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Solution

The fourth proportional to 260,031.90, 390,047.85 and 161,727.90 is: 242,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,031.90 : 390,047.85 = 161,727.90 : x
  2. Step 2: Convert to fraction form
    260,031.90/390,047.85 = 161,727.90/x
  3. Step 3: Cross multiply
    260,031.90x = 390,047.85 × 161,727.90
  4. Step 4: Simplify right side
    260,031.90x = 63,081,619,680.02
  5. Step 5: Solve for x
    x = 63,081,619,680.02/260,031.90
  6. Step 6: Final answer
    x = 242,591.85

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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.