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Finding the Fourth Proportional to 200,733, 277,011.54 and 111,309

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Solution

The fourth proportional to 200,733, 277,011.54 and 111,309 is: 153,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,733 : 277,011.54 = 111,309 : x
  2. Step 2: Convert to fraction form
    200,733/277,011.54 = 111,309/x
  3. Step 3: Cross multiply
    200,733x = 277,011.54 × 111,309
  4. Step 4: Simplify right side
    200,733x = 30,833,877,505.86
  5. Step 5: Solve for x
    x = 30,833,877,505.86/200,733
  6. Step 6: Final answer
    x = 153,606.42

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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.