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Finding the Fourth Proportional to 238,544.92, 328,828.12 and 202,111.90

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Solution

The fourth proportional to 238,544.92, 328,828.12 and 202,111.90 is: 278,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,544.92 : 328,828.12 = 202,111.90 : x
  2. Step 2: Convert to fraction form
    238,544.92/328,828.12 = 202,111.90/x
  3. Step 3: Cross multiply
    238,544.92x = 328,828.12 × 202,111.90
  4. Step 4: Simplify right side
    238,544.92x = 66,460,076,106.63
  5. Step 5: Solve for x
    x = 66,460,076,106.63/238,544.92
  6. Step 6: Final answer
    x = 278,606.13

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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.