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Finding the Fourth Proportional to 200,732, 277,010.16 and 111,308

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Solution

The fourth proportional to 200,732, 277,010.16 and 111,308 is: 153,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,732 : 277,010.16 = 111,308 : x
  2. Step 2: Convert to fraction form
    200,732/277,010.16 = 111,308/x
  3. Step 3: Cross multiply
    200,732x = 277,010.16 × 111,308
  4. Step 4: Simplify right side
    200,732x = 30,833,446,889.28
  5. Step 5: Solve for x
    x = 30,833,446,889.28/200,732
  6. Step 6: Final answer
    x = 153,605.04

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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.