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Finding the Fourth Proportional to 202,541.41, 279,506.24 and 111,897.39

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Solution

The fourth proportional to 202,541.41, 279,506.24 and 111,897.39 is: 154,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,541.41 : 279,506.24 = 111,897.39 : x
  2. Step 2: Convert to fraction form
    202,541.41/279,506.24 = 111,897.39/x
  3. Step 3: Cross multiply
    202,541.41x = 279,506.24 × 111,897.39
  4. Step 4: Simplify right side
    202,541.41x = 31,276,018,744.71
  5. Step 5: Solve for x
    x = 31,276,018,744.71/202,541.41
  6. Step 6: Final answer
    x = 154,417.90

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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.