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Finding the Fourth Proportional to 201,117.92, 277,314.48 and 164,705.76

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Solution

The fourth proportional to 201,117.92, 277,314.48 and 164,705.76 is: 227,107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,117.92 : 277,314.48 = 164,705.76 : x
  2. Step 2: Convert to fraction form
    201,117.92/277,314.48 = 164,705.76/x
  3. Step 3: Cross multiply
    201,117.92x = 277,314.48 × 164,705.76
  4. Step 4: Simplify right side
    201,117.92x = 45,675,292,187.40
  5. Step 5: Solve for x
    x = 45,675,292,187.40/201,117.92
  6. Step 6: Final answer
    x = 227,107.02

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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.