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Finding the Fourth Proportional to 214,328.61, 295,713.60 and 168,865.47

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Solution

The fourth proportional to 214,328.61, 295,713.60 and 168,865.47 is: 232,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,328.61 : 295,713.60 = 168,865.47 : x
  2. Step 2: Convert to fraction form
    214,328.61/295,713.60 = 168,865.47/x
  3. Step 3: Cross multiply
    214,328.61x = 295,713.60 × 168,865.47
  4. Step 4: Simplify right side
    214,328.61x = 49,935,816,049.39
  5. Step 5: Solve for x
    x = 49,935,816,049.39/214,328.61
  6. Step 6: Final answer
    x = 232,987.17

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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.