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Finding the Fourth Proportional to 200,937, 277,293.06 and 111,513

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Solution

The fourth proportional to 200,937, 277,293.06 and 111,513 is: 153,887.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,937 : 277,293.06 = 111,513 : x
  2. Step 2: Convert to fraction form
    200,937/277,293.06 = 111,513/x
  3. Step 3: Cross multiply
    200,937x = 277,293.06 × 111,513
  4. Step 4: Simplify right side
    200,937x = 30,921,780,999.78
  5. Step 5: Solve for x
    x = 30,921,780,999.78/200,937
  6. Step 6: Final answer
    x = 153,887.94

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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.