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Finding the Fourth Proportional to 214,705.92, 296,573.04 and 163,407

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Solution

The fourth proportional to 214,705.92, 296,573.04 and 163,407 is: 225,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,705.92 : 296,573.04 = 163,407 : x
  2. Step 2: Convert to fraction form
    214,705.92/296,573.04 = 163,407/x
  3. Step 3: Cross multiply
    214,705.92x = 296,573.04 × 163,407
  4. Step 4: Simplify right side
    214,705.92x = 48,462,110,747.28
  5. Step 5: Solve for x
    x = 48,462,110,747.28/214,705.92
  6. Step 6: Final answer
    x = 225,713.90

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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.