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Finding the Fourth Proportional to 241,071.91, 360,543.52 and 146,039.47

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Solution

The fourth proportional to 241,071.91, 360,543.52 and 146,039.47 is: 218,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,071.91 : 360,543.52 = 146,039.47 : x
  2. Step 2: Convert to fraction form
    241,071.91/360,543.52 = 146,039.47/x
  3. Step 3: Cross multiply
    241,071.91x = 360,543.52 × 146,039.47
  4. Step 4: Simplify right side
    241,071.91x = 52,653,583,853.92
  5. Step 5: Solve for x
    x = 52,653,583,853.92/241,071.91
  6. Step 6: Final answer
    x = 218,414.43

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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.