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Finding the Fourth Proportional to 201,095.74, 277,481.24 and 116,196.40

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Solution

The fourth proportional to 201,095.74, 277,481.24 and 116,196.40 is: 160,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,095.74 : 277,481.24 = 116,196.40 : x
  2. Step 2: Convert to fraction form
    201,095.74/277,481.24 = 116,196.40/x
  3. Step 3: Cross multiply
    201,095.74x = 277,481.24 × 116,196.40
  4. Step 4: Simplify right side
    201,095.74x = 32,242,321,155.54
  5. Step 5: Solve for x
    x = 32,242,321,155.54/201,095.74
  6. Step 6: Final answer
    x = 160,333.19

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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.