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Finding the Fourth Proportional to 227,806.24, 314,376 and 132,313

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Solution

The fourth proportional to 227,806.24, 314,376 and 132,313 is: 182,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,806.24 : 314,376 = 132,313 : x
  2. Step 2: Convert to fraction form
    227,806.24/314,376 = 132,313/x
  3. Step 3: Cross multiply
    227,806.24x = 314,376 × 132,313
  4. Step 4: Simplify right side
    227,806.24x = 41,596,031,688
  5. Step 5: Solve for x
    x = 41,596,031,688/227,806.24
  6. Step 6: Final answer
    x = 182,593.91

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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.