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Finding the Fourth Proportional to 342,089.72, 472,069.89 and 189,118.18

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Solution

The fourth proportional to 342,089.72, 472,069.89 and 189,118.18 is: 260,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,089.72 : 472,069.89 = 189,118.18 : x
  2. Step 2: Convert to fraction form
    342,089.72/472,069.89 = 189,118.18/x
  3. Step 3: Cross multiply
    342,089.72x = 472,069.89 × 189,118.18
  4. Step 4: Simplify right side
    342,089.72x = 89,276,998,429.60
  5. Step 5: Solve for x
    x = 89,276,998,429.60/342,089.72
  6. Step 6: Final answer
    x = 260,975.39

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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.