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Finding the Fourth Proportional to 200,798, 277,101.24 and 111,374

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Solution

The fourth proportional to 200,798, 277,101.24 and 111,374 is: 153,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,798 : 277,101.24 = 111,374 : x
  2. Step 2: Convert to fraction form
    200,798/277,101.24 = 111,374/x
  3. Step 3: Cross multiply
    200,798x = 277,101.24 × 111,374
  4. Step 4: Simplify right side
    200,798x = 30,861,873,503.76
  5. Step 5: Solve for x
    x = 30,861,873,503.76/200,798
  6. Step 6: Final answer
    x = 153,696.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.