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Finding the Fourth Proportional to 201,586.50, 302,423.48 and 61,341.48

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Solution

The fourth proportional to 201,586.50, 302,423.48 and 61,341.48 is: 92,025.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,586.50 : 302,423.48 = 61,341.48 : x
  2. Step 2: Convert to fraction form
    201,586.50/302,423.48 = 61,341.48/x
  3. Step 3: Cross multiply
    201,586.50x = 302,423.48 × 61,341.48
  4. Step 4: Simplify right side
    201,586.50x = 18,551,103,543.24
  5. Step 5: Solve for x
    x = 18,551,103,543.24/201,586.50
  6. Step 6: Final answer
    x = 92,025.53

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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.