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Finding the Fourth Proportional to 201,316, 277,833.36 and 111,909.28

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Solution

The fourth proportional to 201,316, 277,833.36 and 111,909.28 is: 154,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,316 : 277,833.36 = 111,909.28 : x
  2. Step 2: Convert to fraction form
    201,316/277,833.36 = 111,909.28/x
  3. Step 3: Cross multiply
    201,316x = 277,833.36 × 111,909.28
  4. Step 4: Simplify right side
    201,316x = 31,092,131,277.58
  5. Step 5: Solve for x
    x = 31,092,131,277.58/201,316
  6. Step 6: Final answer
    x = 154,444.41

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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.