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Finding the Fourth Proportional to 253,696.48, 349,968.40 and 156,869.38

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Solution

The fourth proportional to 253,696.48, 349,968.40 and 156,869.38 is: 216,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,696.48 : 349,968.40 = 156,869.38 : x
  2. Step 2: Convert to fraction form
    253,696.48/349,968.40 = 156,869.38/x
  3. Step 3: Cross multiply
    253,696.48x = 349,968.40 × 156,869.38
  4. Step 4: Simplify right side
    253,696.48x = 54,899,324,004.31
  5. Step 5: Solve for x
    x = 54,899,324,004.31/253,696.48
  6. Step 6: Final answer
    x = 216,397.66

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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.