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Finding the Fourth Proportional to 227,802.24, 314,370.48 and 132,309

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Solution

The fourth proportional to 227,802.24, 314,370.48 and 132,309 is: 182,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,802.24 : 314,370.48 = 132,309 : x
  2. Step 2: Convert to fraction form
    227,802.24/314,370.48 = 132,309/x
  3. Step 3: Cross multiply
    227,802.24x = 314,370.48 × 132,309
  4. Step 4: Simplify right side
    227,802.24x = 41,594,043,838.32
  5. Step 5: Solve for x
    x = 41,594,043,838.32/227,802.24
  6. Step 6: Final answer
    x = 182,588.39

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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.