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Finding the Fourth Proportional to 201,210.02, 301,420.58 and 116,793.20

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Solution

The fourth proportional to 201,210.02, 301,420.58 and 116,793.20 is: 174,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,210.02 : 301,420.58 = 116,793.20 : x
  2. Step 2: Convert to fraction form
    201,210.02/301,420.58 = 116,793.20/x
  3. Step 3: Cross multiply
    201,210.02x = 301,420.58 × 116,793.20
  4. Step 4: Simplify right side
    201,210.02x = 35,203,875,129.59
  5. Step 5: Solve for x
    x = 35,203,875,129.59/201,210.02
  6. Step 6: Final answer
    x = 174,960.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.