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Finding the Fourth Proportional to 201,325.16, 277,821.64 and 110,680.46

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Solution

The fourth proportional to 201,325.16, 277,821.64 and 110,680.46 is: 152,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,325.16 : 277,821.64 = 110,680.46 : x
  2. Step 2: Convert to fraction form
    201,325.16/277,821.64 = 110,680.46/x
  3. Step 3: Cross multiply
    201,325.16x = 277,821.64 × 110,680.46
  4. Step 4: Simplify right side
    201,325.16x = 30,749,426,359.75
  5. Step 5: Solve for x
    x = 30,749,426,359.75/201,325.16
  6. Step 6: Final answer
    x = 152,735.14

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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.