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Finding the Fourth Proportional to 201,317, 277,834.74 and 111,910.28

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Solution

The fourth proportional to 201,317, 277,834.74 and 111,910.28 is: 154,445.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,317 : 277,834.74 = 111,910.28 : x
  2. Step 2: Convert to fraction form
    201,317/277,834.74 = 111,910.28/x
  3. Step 3: Cross multiply
    201,317x = 277,834.74 × 111,910.28
  4. Step 4: Simplify right side
    201,317x = 31,092,563,547.13
  5. Step 5: Solve for x
    x = 31,092,563,547.13/201,317
  6. Step 6: Final answer
    x = 154,445.79

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1.5x scale

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.