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Finding the Fourth Proportional to 201,056.20, 301,562.70 and 53,312.20

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Solution

The fourth proportional to 201,056.20, 301,562.70 and 53,312.20 is: 79,962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,056.20 : 301,562.70 = 53,312.20 : x
  2. Step 2: Convert to fraction form
    201,056.20/301,562.70 = 53,312.20/x
  3. Step 3: Cross multiply
    201,056.20x = 301,562.70 × 53,312.20
  4. Step 4: Simplify right side
    201,056.20x = 16,076,970,974.94
  5. Step 5: Solve for x
    x = 16,076,970,974.94/201,056.20
  6. Step 6: Final answer
    x = 79,962.57

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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.