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Finding the Fourth Proportional to 201,130.02, 301,727.70 and 68,018.40

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Solution

The fourth proportional to 201,130.02, 301,727.70 and 68,018.40 is: 102,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,130.02 : 301,727.70 = 68,018.40 : x
  2. Step 2: Convert to fraction form
    201,130.02/301,727.70 = 68,018.40/x
  3. Step 3: Cross multiply
    201,130.02x = 301,727.70 × 68,018.40
  4. Step 4: Simplify right side
    201,130.02x = 20,523,035,389.68
  5. Step 5: Solve for x
    x = 20,523,035,389.68/201,130.02
  6. Step 6: Final answer
    x = 102,038.65

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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.