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Finding the Fourth Proportional to 153,898.20, 230,933.70 and 65,136.60

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Solution

The fourth proportional to 153,898.20, 230,933.70 and 65,136.60 is: 97,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,898.20 : 230,933.70 = 65,136.60 : x
  2. Step 2: Convert to fraction form
    153,898.20/230,933.70 = 65,136.60/x
  3. Step 3: Cross multiply
    153,898.20x = 230,933.70 × 65,136.60
  4. Step 4: Simplify right side
    153,898.20x = 15,042,236,043.42
  5. Step 5: Solve for x
    x = 15,042,236,043.42/153,898.20
  6. Step 6: Final answer
    x = 97,741.47

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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.