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Finding the Fourth Proportional to 201,683.10, 302,524.65 and 145,695.90

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Solution

The fourth proportional to 201,683.10, 302,524.65 and 145,695.90 is: 218,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,683.10 : 302,524.65 = 145,695.90 : x
  2. Step 2: Convert to fraction form
    201,683.10/302,524.65 = 145,695.90/x
  3. Step 3: Cross multiply
    201,683.10x = 302,524.65 × 145,695.90
  4. Step 4: Simplify right side
    201,683.10x = 44,076,601,153.94
  5. Step 5: Solve for x
    x = 44,076,601,153.94/201,683.10
  6. Step 6: Final answer
    x = 218,543.85

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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.