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Finding the Fourth Proportional to 260,051.40, 390,077.10 and 161,747.40

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Solution

The fourth proportional to 260,051.40, 390,077.10 and 161,747.40 is: 242,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,051.40 : 390,077.10 = 161,747.40 : x
  2. Step 2: Convert to fraction form
    260,051.40/390,077.10 = 161,747.40/x
  3. Step 3: Cross multiply
    260,051.40x = 390,077.10 × 161,747.40
  4. Step 4: Simplify right side
    260,051.40x = 63,093,956,724.54
  5. Step 5: Solve for x
    x = 63,093,956,724.54/260,051.40
  6. Step 6: Final answer
    x = 242,621.10

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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.