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Finding the Fourth Proportional to 177,898.40, 266,847.60 and 53,223.20

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Solution

The fourth proportional to 177,898.40, 266,847.60 and 53,223.20 is: 79,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,898.40 : 266,847.60 = 53,223.20 : x
  2. Step 2: Convert to fraction form
    177,898.40/266,847.60 = 53,223.20/x
  3. Step 3: Cross multiply
    177,898.40x = 266,847.60 × 53,223.20
  4. Step 4: Simplify right side
    177,898.40x = 14,202,483,184.32
  5. Step 5: Solve for x
    x = 14,202,483,184.32/177,898.40
  6. Step 6: Final answer
    x = 79,834.80

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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.